6407074688400 has 135 divisors (see below), whose sum is σ = 22234855966401. Its totient is φ = 1708512750720.

The previous prime is 6407074688387. The next prime is 6407074688411. The reversal of 6407074688400 is 48864707046.

The square root of 6407074688400 is 2531220.

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

6407074688400 is a `hidden beast` number, since 6 + 40 + 70 + 74 + 68 + 8 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2306546887824 + 4100527800576 = 1518732^2 + 2024976^2 .

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, 151852107 + ... + 151894293.

Almost surely, 2^{6407074688400} is an apocalyptic number.

6407074688400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6407074688400 is the 2531220-th square number.

It is an amenable number.

6407074688400 is an abundant number, since it is smaller than the sum of its proper divisors (15827781278001).

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

6407074688400 is an frugal number, since it uses more digits than its factorization.

6407074688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84398 (or 42197 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 6407074688400 in words is "six trillion, four hundred seven billion, seventy-four million, six hundred eighty-eight thousand, four hundred".