6375758400 has 336 divisors, whose sum is σ = 25356799680. Its totient is φ = 1545523200.

The previous prime is 6375758399. The next prime is 6375758419. The reversal of 6375758400 is 48575736.

6375758400 is a `hidden beast` number, since 6 + 37 + 575 + 8 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468492 + ... + 481908.

Almost surely, 2^6375758400 is an apocalyptic number.

6375758400 is a gapful number since it is divisible by the number (60) 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 6375758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12678399840).

6375758400 is an abundant number, since it is smaller than the sum of its proper divisors (18981041280).

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

6375758400 is a wasteful number, since it uses less digits than its factorization.

6375758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13459 (or 13438 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 6375758400 is about 79848.3462571392. The cubic root of 6375758400 is about 1854.2884104270.

The spelling of 6375758400 in words is "six billion, three hundred seventy-five million, seven hundred fifty-eight thousand, four hundred".