96636762720 has 192 divisors, whose sum is σ = 338393825280. Its totient is φ = 25757222400.

The previous prime is 96636762683. The next prime is 96636762749. The reversal of 96636762720 is 2726763669.

96636762720 is a `hidden beast` number, since 9 + 6 + 6 + 3 + 6 + 7 + 627 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11793825 + ... + 11802015.

It is an arithmetic number, because the mean of its divisors is an integer number (1762467840).

Almost surely, 2^96636762720 is an apocalyptic number.

96636762720 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 96636762720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169196912640).

96636762720 is an abundant number, since it is smaller than the sum of its proper divisors (241757062560).

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

96636762720 is a wasteful number, since it uses less digits than its factorization.

96636762720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10946 (or 10932 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 96636762720 in words is "ninety-six billion, six hundred thirty-six million, seven hundred sixty-two thousand, seven hundred twenty".