8673998400 has 840 divisors, whose sum is σ = 35122323456. Its totient is φ = 2090188800.

The previous prime is 8673998381. The next prime is 8673998401. The reversal of 8673998400 is 48993768.

8673998400 is a `hidden beast` number, since 86 + 73 + 9 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8673998401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68299137 + ... + 68299263.

Almost surely, 2^8673998400 is an apocalyptic number.

8673998400 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 8673998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17561161728).

8673998400 is an abundant number, since it is smaller than the sum of its proper divisors (26448325056).

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

8673998400 is a wasteful number, since it uses less digits than its factorization.

8673998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 8673998400 is about 93134.3030252549. The cubic root of 8673998400 is about 2054.6591154960.

The spelling of 8673998400 in words is "eight billion, six hundred seventy-three million, nine hundred ninety-eight thousand, four hundred".