97427736576000 has 960 divisors, whose sum is σ = 381450283119360. Its totient is φ = 24452215603200.

The previous prime is 97427736575957. The next prime is 97427736576041. The reversal of 97427736576000 is 67563772479.

97427736576000 is a `hidden beast` number, since 9 + 7 + 4 + 27 + 7 + 36 + 576 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 939980179 + ... + 940083821.

It is an arithmetic number, because the mean of its divisors is an integer number (397344044916).

Almost surely, 2^{97427736576000} is an apocalyptic number.

97427736576000 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 97427736576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190725141559680).

97427736576000 is an abundant number, since it is smaller than the sum of its proper divisors (284022546543360).

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

97427736576000 is a wasteful number, since it uses less digits than its factorization.

97427736576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103712 (or 103670 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 63.

The spelling of 97427736576000 in words is "ninety-seven trillion, four hundred twenty-seven billion, seven hundred thirty-six million, five hundred seventy-six thousand".