6901023920400 has 135 divisors (see below), whose sum is σ = 23949016948389. Its totient is φ = 1840231013760.

The previous prime is 6901023920389. The next prime is 6901023920449. The reversal of 6901023920400 is 40293201096.

The square root of 6901023920400 is 2626980.

It is a perfect power (a square), and thus also a powerful number.

6901023920400 is a `hidden beast` number, since 6 + 9 + 0 + 10 + 239 + 2 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2484368611344 + 4416655309056 = 1576188^2 + 2101584^2 .

It is a super-2 number, since 2×6901023920400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 157596909 + ... + 157640691.

Almost surely, 2^{6901023920400} is an apocalyptic number.

6901023920400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6901023920400 is the 2626980-th square number.

It is an amenable number.

6901023920400 is an abundant number, since it is smaller than the sum of its proper divisors (17047993027989).

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

6901023920400 is an frugal number, since it uses more digits than its factorization.

6901023920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87590 (or 43793 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 6901023920400 by its sum of digits (36), we get a square (248436861134400 = 15761880²).

6901023920400 divided by its sum of digits (36) gives a square (191695108900 = 437830²).

The spelling of 6901023920400 in words is "six trillion, nine hundred one billion, twenty-three million, nine hundred twenty thousand, four hundred".