6507138632400 has 270 divisors, whose sum is σ = 26268367646742. Its totient is φ = 1487345932800.

The previous prime is 6507138632399. The next prime is 6507138632411. The reversal of 6507138632400 is 42368317056.

6507138632400 is a `hidden beast` number, since 6 + 5 + 0 + 7 + 1 + 3 + 8 + 632 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3843008064 + 6503295624336 = 61992^2 + 2550156^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 18267871 + ... + 18620670.

Almost surely, 2^{6507138632400} is an apocalyptic number.

6507138632400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6507138632400 is an abundant number, since it is smaller than the sum of its proper divisors (19761229014342).

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

6507138632400 is a wasteful number, since it uses less digits than its factorization.

6507138632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36888579 (or 36888558 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6507138632400 in words is "six trillion, five hundred seven billion, one hundred thirty-eight million, six hundred thirty-two thousand, four hundred".