9504091980864 has 252 divisors, whose sum is σ = 29506913046000. Its totient is φ = 2923499824128.

The previous prime is 9504091980863. The next prime is 9504091980913. The reversal of 9504091980864 is 4680891904059.

9504091980864 is a `hidden beast` number, since 95 + 0 + 409 + 1 + 9 + 80 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (9504091980863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 399001147 + ... + 399024965.

Almost surely, 2^{9504091980864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9504091980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753456523000).

9504091980864 is an abundant number, since it is smaller than the sum of its proper divisors (20002821065136).

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

9504091980864 is a wasteful number, since it uses less digits than its factorization.

9504091980864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27962 (or 27936 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 9504091980864 in words is "nine trillion, five hundred four billion, ninety-one million, nine hundred eighty thousand, eight hundred sixty-four".