5692800672 has 288 divisors, whose sum is σ = 18602438400. Its totient is φ = 1636816896.

The previous prime is 5692800667. The next prime is 5692800697. The reversal of 5692800672 is 2760082965.

5692800672 is a `hidden beast` number, since 569 + 2 + 80 + 0 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5692800672² = 64815958982247303168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5619238 + ... + 5620250.

It is an arithmetic number, because the mean of its divisors is an integer number (64591800).

Almost surely, 2^5692800672 is an apocalyptic number.

5692800672 is a gapful number since it is divisible by the number (52) 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 5692800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9301219200).

5692800672 is an abundant number, since it is smaller than the sum of its proper divisors (12909637728).

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

5692800672 is a wasteful number, since it uses less digits than its factorization.

5692800672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5692800672 is about 75450.6505737359. The cubic root of 5692800672 is about 1785.5636080088.

The spelling of 5692800672 in words is "five billion, six hundred ninety-two million, eight hundred thousand, six hundred seventy-two".