97617769920 has 896 divisors, whose sum is σ = 410821632000. Its totient is φ = 21543321600.

The previous prime is 97617769891. The next prime is 97617769933. The reversal of 97617769920 is 2996771679.

97617769920 is a `hidden beast` number, since 9 + 7 + 617 + 7 + 6 + 9 + 9 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50085106 + ... + 50087054.

Almost surely, 2^97617769920 is an apocalyptic number.

97617769920 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 97617769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205410816000).

97617769920 is an abundant number, since it is smaller than the sum of its proper divisors (313203862080).

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

97617769920 is a wasteful number, since it uses less digits than its factorization.

97617769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 18003384, while the sum is 63.

The spelling of 97617769920 in words is "ninety-seven billion, six hundred seventeen million, seven hundred sixty-nine thousand, nine hundred twenty".