84107600640 has 1080 divisors, whose sum is σ = 366278929632. Its totient is φ = 18048614400.

The previous prime is 84107600593. The next prime is 84107600711. The reversal of 84107600640 is 4600670148.

84107600640 is a `hidden beast` number, since 8 + 4 + 1 + 0 + 7 + 6 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 = 84107600595 and 84107600604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 209744440 + ... + 209744840.

Almost surely, 2^84107600640 is an apocalyptic number.

84107600640 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 84107600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183139464816).

84107600640 is an abundant number, since it is smaller than the sum of its proper divisors (282171328992).

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

84107600640 is a wasteful number, since it uses less digits than its factorization.

84107600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 84107600640 in words is "eighty-four billion, one hundred seven million, six hundred thousand, six hundred forty".