6814272010656 has 48 divisors (see below), whose sum is σ = 19513597124448. Its totient is φ = 2064930912000.

The previous prime is 6814272010639. The next prime is 6814272010703. The reversal of 6814272010656 is 6560102724186.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3226453495 + ... + 3226455606.

It is an arithmetic number, because the mean of its divisors is an integer number (406533273426).

Almost surely, 2^{6814272010656} is an apocalyptic number.

6814272010656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6814272010656 is an abundant number, since it is smaller than the sum of its proper divisors (12699325113792).

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

6814272010656 is a wasteful number, since it uses less digits than its factorization.

6814272010656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452909125 (or 6452909117 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 6814272010656 in words is "six trillion, eight hundred fourteen billion, two hundred seventy-two million, ten thousand, six hundred fifty-six".