96930816840 has 384 divisors, whose sum is σ = 382867430400. Its totient is φ = 20942530560.

The previous prime is 96930816839. The next prime is 96930816863. The reversal of 96930816840 is 4861803969.

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, 1460457 + ... + 1525383.

It is an arithmetic number, because the mean of its divisors is an integer number (997050600).

Almost surely, 2^96930816840 is an apocalyptic number.

96930816840 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 96930816840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191433715200).

96930816840 is an abundant number, since it is smaller than the sum of its proper divisors (285936613560).

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

96930816840 is a wasteful number, since it uses less digits than its factorization.

96930816840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64997 (or 64990 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 96930816840 in words is "ninety-six billion, nine hundred thirty million, eight hundred sixteen thousand, eight hundred forty".