96997820760 has 320 divisors, whose sum is σ = 348152428800. Its totient is φ = 24167808000.

The previous prime is 96997820707. The next prime is 96997820761. The reversal of 96997820760 is 6702879969.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96997820761) 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, 2896110 + ... + 2929410.

It is an arithmetic number, because the mean of its divisors is an integer number (1087976340).

Almost surely, 2^96997820760 is an apocalyptic number.

96997820760 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 96997820760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174076214400).

96997820760 is an abundant number, since it is smaller than the sum of its proper divisors (251154608040).

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

96997820760 is a wasteful number, since it uses less digits than its factorization.

96997820760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33384 (or 33371 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 96997820760 in words is "ninety-six billion, nine hundred ninety-seven million, eight hundred twenty thousand, seven hundred sixty".