9682087928400 has 120 divisors (see below), whose sum is σ = 34461061146560. Its totient is φ = 2581890111360.

The previous prime is 9682087928369. The next prime is 9682087928413. The reversal of 9682087928400 is 48297802869.

9682087928400 is a `hidden beast` number, since 9 + 68 + 2 + 0 + 87 + 92 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448234012 + ... + 448255611.

Almost surely, 2^{9682087928400} is an apocalyptic number.

9682087928400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9682087928400 is an abundant number, since it is smaller than the sum of its proper divisors (24778973218160).

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

9682087928400 is a wasteful number, since it uses less digits than its factorization.

9682087928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896489650 (or 896489633 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 9682087928400 in words is "nine trillion, six hundred eighty-two billion, eighty-seven million, nine hundred twenty-eight thousand, four hundred".