97926748864 has 224 divisors, whose sum is σ = 241046959104. Its totient is φ = 38521405440.

The previous prime is 97926748823. The next prime is 97926748867. The reversal of 97926748864 is 46884762979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 97926748793 and 97926748802.

It is not an unprimeable number, because it can be changed into a prime (97926748867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52450459 + ... + 52452325.

It is an arithmetic number, because the mean of its divisors is an integer number (1076102496).

Almost surely, 2^97926748864 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 97926748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120523479552).

97926748864 is an abundant number, since it is smaller than the sum of its proper divisors (143120210240).

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

97926748864 is a wasteful number, since it uses less digits than its factorization.

97926748864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2061 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 70.

The spelling of 97926748864 in words is "ninety-seven billion, nine hundred twenty-six million, seven hundred forty-eight thousand, eight hundred sixty-four".