97664624640 has 768 divisors, whose sum is σ = 401218272000. Its totient is φ = 22271754240.

The previous prime is 97664624627. The next prime is 97664624641. The reversal of 97664624640 is 4642646679.

It is a happy number.

97664624640 is a `hidden beast` number, since 9 + 7 + 6 + 6 + 4 + 624 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (97664624641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51700816 + ... + 51702704.

It is an arithmetic number, because the mean of its divisors is an integer number (522419625).

Almost surely, 2^97664624640 is an apocalyptic number.

97664624640 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 97664624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200609136000).

97664624640 is an abundant number, since it is smaller than the sum of its proper divisors (303553647360).

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

97664624640 is a wasteful number, since it uses less digits than its factorization.

97664624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 97664624640 in words is "ninety-seven billion, six hundred sixty-four million, six hundred twenty-four thousand, six hundred forty".