9404964864 has 224 divisors, whose sum is σ = 28207594080. Its totient is φ = 3096576000.

The previous prime is 9404964847. The next prime is 9404964871. The reversal of 9404964864 is 4684694049.

It is a happy number.

9404964864 is a `hidden beast` number, since 94 + 0 + 496 + 4 + 8 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9404964864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22339374 + ... + 22339794.

Almost surely, 2^9404964864 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 9404964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103797040).

9404964864 is an abundant number, since it is smaller than the sum of its proper divisors (18802629216).

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

9404964864 is a wasteful number, since it uses less digits than its factorization.

9404964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 9404964864 is about 96979.1980993862. The cubic root of 9404964864 is about 2110.8257935797.

The spelling of 9404964864 in words is "nine billion, four hundred four million, nine hundred sixty-four thousand, eight hundred sixty-four".