6472834670400 has 336 divisors, whose sum is σ = 25052956508160. Its totient is φ = 1431778867200.

The previous prime is 6472834670381. The next prime is 6472834670437. The reversal of 6472834670400 is 40764382746.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2065560 + ... + 4148759.

It is an arithmetic number, because the mean of its divisors is an integer number (74562370560).

Almost surely, 2^{6472834670400} is an apocalyptic number.

6472834670400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6472834670400 is an abundant number, since it is smaller than the sum of its proper divisors (18580121837760).

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

6472834670400 is a wasteful number, since it uses less digits than its factorization.

6472834670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6214382 (or 6214367 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 51.

The spelling of 6472834670400 in words is "six trillion, four hundred seventy-two billion, eight hundred thirty-four million, six hundred seventy thousand, four hundred".