97791472800 has 576 divisors, whose sum is σ = 405236563200. Its totient is φ = 22295347200.

The previous prime is 97791472787. The next prime is 97791472847. The reversal of 97791472800 is 827419779.

97791472800 is a `hidden beast` number, since 9 + 7 + 7 + 91 + 472 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96918696 + ... + 96919704.

It is an arithmetic number, because the mean of its divisors is an integer number (703535700).

Almost surely, 2^97791472800 is an apocalyptic number.

97791472800 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 97791472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202618281600).

97791472800 is an abundant number, since it is smaller than the sum of its proper divisors (307445090400).

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

97791472800 is a wasteful number, since it uses less digits than its factorization.

97791472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 97791472800 in words is "ninety-seven billion, seven hundred ninety-one million, four hundred seventy-two thousand, eight hundred".