6812654400 has 126 divisors (see below), whose sum is σ = 24213833462. Its totient is φ = 1816704000.

The previous prime is 6812654347. The next prime is 6812654411. The reversal of 6812654400 is 44562186.

It can be written as a sum of positive squares in 3 ways, for example, as 313714944 + 6498939456 = 17712^2 + 80616^2 .

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

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 222151 + ... + 250950.

Almost surely, 2^6812654400 is an apocalyptic number.

6812654400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6812654400 is an abundant number, since it is smaller than the sum of its proper divisors (17401179062).

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

6812654400 is a wasteful number, since it uses less digits than its factorization.

6812654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473129 (or 473111 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6812654400 is about 82538.8054190270. The cubic root of 6812654400 is about 1895.7109531060.

The spelling of 6812654400 in words is "six billion, eight hundred twelve million, six hundred fifty-four thousand, four hundred".