97498608768 has 640 divisors, whose sum is σ = 335899872000. Its totient is φ = 27791769600.

The previous prime is 97498608761. The next prime is 97498608769. The reversal of 97498608768 is 86780689479.

97498608768 is a `hidden beast` number, since 9 + 7 + 4 + 9 + 8 + 608 + 7 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 97498608696 and 97498608705.

It is not an unprimeable number, because it can be changed into a prime (97498608761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135602713 + ... + 135603431.

It is an arithmetic number, because the mean of its divisors is an integer number (524843550).

Almost surely, 2^97498608768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97498608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167949936000).

97498608768 is an abundant number, since it is smaller than the sum of its proper divisors (238401263232).

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

97498608768 is a wasteful number, since it uses less digits than its factorization.

97498608768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

It can be divided in two parts, 97498 and 608768, that added together give a triangular number (706266 = T₁₁₈₈).

The spelling of 97498608768 in words is "ninety-seven billion, four hundred ninety-eight million, six hundred eight thousand, seven hundred sixty-eight".