96719874768 has 360 divisors, whose sum is σ = 312388693344. Its totient is φ = 28944241920.

The previous prime is 96719874761. The next prime is 96719874821. The reversal of 96719874768 is 86747891769.

96719874768 is a `hidden beast` number, since 9 + 6 + 71 + 9 + 87 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 96719874696 and 96719874705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96719874761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39045946 + ... + 39048422.

Almost surely, 2^96719874768 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 96719874768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156194346672).

96719874768 is an abundant number, since it is smaller than the sum of its proper divisors (215668818576).

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

96719874768 is a wasteful number, since it uses less digits than its factorization.

96719874768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2576 counting only the distinct ones).

The product of its digits is 256048128, while the sum is 72.

The spelling of 96719874768 in words is "ninety-six billion, seven hundred nineteen million, eight hundred seventy-four thousand, seven hundred sixty-eight".