9407956800 has 672 divisors, whose sum is σ = 35993124864. Its totient is φ = 2128896000.

The previous prime is 9407956783. The next prime is 9407956841. The reversal of 9407956800 is 86597049.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9407956800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74078337 + ... + 74078463.

Almost surely, 2^9407956800 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 9407956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17996562432).

9407956800 is an abundant number, since it is smaller than the sum of its proper divisors (26585168064).

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

9407956800 is a wasteful number, since it uses less digits than its factorization.

9407956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 9407956800 is about 96994.6225313548. The cubic root of 9407956800 is about 2111.0496039534.

The spelling of 9407956800 in words is "nine billion, four hundred seven million, nine hundred fifty-six thousand, eight hundred".