97716326400 has 2184 divisors, whose sum is σ = 479581608384. Its totient is φ = 19110297600.

The previous prime is 97716326399. The next prime is 97716326429. The reversal of 97716326400 is 462361779.

97716326400 is a `hidden beast` number, since 9 + 7 + 7 + 1 + 632 + 6 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×97716326400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5748019192 + ... + 5748019208.

Almost surely, 2^97716326400 is an apocalyptic number.

97716326400 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 97716326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239790804192).

97716326400 is an abundant number, since it is smaller than the sum of its proper divisors (381865281984).

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

97716326400 is a wasteful number, since it uses less digits than its factorization.

97716326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 97716326400 in words is "ninety-seven billion, seven hundred sixteen million, three hundred twenty-six thousand, four hundred".