97456060776960 has 400 divisors, whose sum is σ = 349174007355096. Its totient is φ = 25979557773312.

The previous prime is 97456060776937. The next prime is 97456060777037. The reversal of 97456060776960 is 6967706065479.

97456060776960 is a `hidden beast` number, since 9 + 7 + 4 + 5 + 6 + 0 + 607 + 7 + 6 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97324065167616 + 131995609344 = 9865296^2 + 363312^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 629674944 + ... + 629829696.

Almost surely, 2^{97456060776960} is an apocalyptic number.

97456060776960 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 97456060776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174587003677548).

97456060776960 is an abundant number, since it is smaller than the sum of its proper divisors (251717946578136).

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

97456060776960 is a wasteful number, since it uses less digits than its factorization.

97456060776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157825 (or 157800 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 72.

The spelling of 97456060776960 in words is "ninety-seven trillion, four hundred fifty-six billion, sixty million, seven hundred seventy-six thousand, nine hundred sixty".