8673200640 has 480 divisors, whose sum is σ = 33781587840. Its totient is φ = 2040496128.

The previous prime is 8673200629. The next prime is 8673200651. The reversal of 8673200640 is 460023768.

8673200640 is a `hidden beast` number, since 8 + 6 + 7 + 3 + 2 + 0 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (8673200629) and next prime (8673200651).

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8673200595 and 8673200604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6888331 + ... + 6889589.

It is an arithmetic number, because the mean of its divisors is an integer number (70378308).

Almost surely, 2^8673200640 is an apocalyptic number.

8673200640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8673200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16890793920).

8673200640 is an abundant number, since it is smaller than the sum of its proper divisors (25108387200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8673200640 is a wasteful number, since it uses less digits than its factorization.

8673200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 8673200640 is about 93130.0200794567. The cubic root of 8673200640 is about 2054.5961235887.

The spelling of 8673200640 in words is "eight billion, six hundred seventy-three million, two hundred thousand, six hundred forty".