6814312920 has 112 divisors (see below), whose sum is σ = 22987888560. Its totient is φ = 1817142336.

The previous prime is 6814312909. The next prime is 6814312933. The reversal of 6814312920 is 292134186.

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 27 ways as a sum of consecutive naturals, for example, 87684 + ... + 146003.

It is an arithmetic number, because the mean of its divisors is an integer number (205249005).

Almost surely, 2^6814312920 is an apocalyptic number.

6814312920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6814312920 is an abundant number, since it is smaller than the sum of its proper divisors (16173575640).

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

6814312920 is a wasteful number, since it uses less digits than its factorization.

6814312920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233716 (or 233697 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6814312920 is about 82548.8517182402. The cubic root of 6814312920 is about 1895.8647756467.

The spelling of 6814312920 in words is "six billion, eight hundred fourteen million, three hundred twelve thousand, nine hundred twenty".