6427370400 has 144 divisors (see below), whose sum is σ = 22823101728. Its totient is φ = 1558144000.

The previous prime is 6427370393. The next prime is 6427370413. The reversal of 6427370400 is 40737246.

It is a super-2 number, since 2×6427370400² = 82622180517592320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 95331 + ... + 148130.

It is an arithmetic number, because the mean of its divisors is an integer number (158493762).

Almost surely, 2^6427370400 is an apocalyptic number.

6427370400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6427370400 is an abundant number, since it is smaller than the sum of its proper divisors (16395731328).

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

6427370400 is a wasteful number, since it uses less digits than its factorization.

6427370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243495 (or 243482 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 6427370400 is about 80170.8824948310. The cubic root of 6427370400 is about 1859.2784806994.

The spelling of 6427370400 in words is "six billion, four hundred twenty-seven million, three hundred seventy thousand, four hundred".