947972044800 has 864 divisors, whose sum is σ = 3831961770000. Its totient is φ = 221852467200.

The previous prime is 947972044751. The next prime is 947972044913. The reversal of 947972044800 is 8440279749.

It is a happy number.

947972044800 is a `hidden beast` number, since 94 + 7 + 9 + 72 + 0 + 4 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 146991976 + ... + 146998424.

Almost surely, 2^947972044800 is an apocalyptic number.

947972044800 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 947972044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915980885000).

947972044800 is an abundant number, since it is smaller than the sum of its proper divisors (2883989725200).

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

947972044800 is a wasteful number, since it uses less digits than its factorization.

947972044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6527 (or 6499 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 947972044800 in words is "nine hundred forty-seven billion, nine hundred seventy-two million, forty-four thousand, eight hundred".