6325862400 has 816 divisors, whose sum is σ = 27304710720. Its totient is φ = 1415577600.

The previous prime is 6325862381. The next prime is 6325862461. The reversal of 6325862400 is 42685236.

6325862400 is a `hidden beast` number, since 6 + 3 + 25 + 8 + 624 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486604794 + ... + 486604806.

Almost surely, 2^6325862400 is an apocalyptic number.

6325862400 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 6325862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13652355360).

6325862400 is an abundant number, since it is smaller than the sum of its proper divisors (20978848320).

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

6325862400 is a wasteful number, since it uses less digits than its factorization.

6325862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6325862400 is about 79535.2902804786. The cubic root of 6325862400 is about 1849.4385829927.

The spelling of 6325862400 in words is "six billion, three hundred twenty-five million, eight hundred sixty-two thousand, four hundred".