96904304640 has 1920 divisors, whose sum is σ = 439523884800. Its totient is φ = 20065812480.

The previous prime is 96904304639. The next prime is 96904304701. The reversal of 96904304640 is 4640340969.

It is a happy number.

96904304640 is a `hidden beast` number, since 96 + 90 + 430 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2253588459 + ... + 2253588501.

It is an arithmetic number, because the mean of its divisors is an integer number (228918690).

Almost surely, 2^96904304640 is an apocalyptic number.

96904304640 is a gapful number since it is divisible by the number (90) 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 96904304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219761942400).

96904304640 is an abundant number, since it is smaller than the sum of its proper divisors (342619580160).

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

96904304640 is a wasteful number, since it uses less digits than its factorization.

96904304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 96904304640 in words is "ninety-six billion, nine hundred four million, three hundred four thousand, six hundred forty".