6882512036400 has 6720 divisors, whose sum is σ = 37607722951680. Its totient is φ = 1160950579200.

The previous prime is 6882512036399. The next prime is 6882512036443. The reversal of 6882512036400 is 46302152886.

6882512036400 is a `hidden beast` number, since 68 + 8 + 2 + 512 + 0 + 36 + 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 polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 94280986764 + ... + 94280986836.

It is an arithmetic number, because the mean of its divisors is an integer number (5596387344).

Almost surely, 2^{6882512036400} is an apocalyptic number.

6882512036400 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 6882512036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18803861475840).

6882512036400 is an abundant number, since it is smaller than the sum of its proper divisors (30725210915280).

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

6882512036400 is a wasteful number, since it uses less digits than its factorization.

6882512036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 6882512036400 in words is "six trillion, eight hundred eighty-two billion, five hundred twelve million, thirty-six thousand, four hundred".