97649608320 has 896 divisors, whose sum is σ = 390111811200. Its totient is φ = 23161282560.

The previous prime is 97649608307. The next prime is 97649608337. The reversal of 97649608320 is 2380694679.

It is a happy number.

97649608320 is a `hidden beast` number, since 9 + 7 + 6 + 4 + 9 + 608 + 3 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 272004301 + ... + 272004659.

Almost surely, 2^97649608320 is an apocalyptic number.

97649608320 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 97649608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195055905600).

97649608320 is an abundant number, since it is smaller than the sum of its proper divisors (292462202880).

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

97649608320 is a wasteful number, since it uses less digits than its factorization.

97649608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 97649608320 in words is "ninety-seven billion, six hundred forty-nine million, six hundred eight thousand, three hundred twenty".