96821383680 has 960 divisors, whose sum is σ = 400415228928. Its totient is φ = 21162885120.

The previous prime is 96821383667. The next prime is 96821383709. The reversal of 96821383680 is 8638312869.

It is a happy number.

96821383680 is a `hidden beast` number, since 9 + 68 + 213 + 8 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401748360 + ... + 401748600.

Almost surely, 2^96821383680 is an apocalyptic number.

96821383680 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 96821383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200207614464).

96821383680 is an abundant number, since it is smaller than the sum of its proper divisors (303593845248).

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

96821383680 is a wasteful number, since it uses less digits than its factorization.

96821383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 96821383680 in words is "ninety-six billion, eight hundred twenty-one million, three hundred eighty-three thousand, six hundred eighty".