968472577800 has 288 divisors, whose sum is σ = 4003020665280. Its totient is φ = 204337036800.

The previous prime is 968472577781. The next prime is 968472577811. The reversal of 968472577800 is 8775274869.

968472577800 is a `hidden beast` number, since 96 + 8 + 472 + 5 + 7 + 78 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2792466 + ... + 3120065.

It is an arithmetic number, because the mean of its divisors is an integer number (13899377310).

Almost surely, 2^968472577800 is an apocalyptic number.

968472577800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

968472577800 is an abundant number, since it is smaller than the sum of its proper divisors (3034548087480).

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

968472577800 is a wasteful number, since it uses less digits than its factorization.

968472577800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912573 (or 5912561 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 968472577800 in words is "nine hundred sixty-eight billion, four hundred seventy-two million, five hundred seventy-seven thousand, eight hundred".