6312680820 has 72 divisors (see below), whose sum is σ = 19166218344. Its totient is φ = 1681820928.

The previous prime is 6312680813. The next prime is 6312680849. The reversal of 6312680820 is 280862136.

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 6312620304 = 246^2 + 79452^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185362 + ... + 216758.

It is an arithmetic number, because the mean of its divisors is an integer number (266197477).

Almost surely, 2^6312680820 is an apocalyptic number.

6312680820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6312680820 is an abundant number, since it is smaller than the sum of its proper divisors (12853537524).

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

6312680820 is a wasteful number, since it uses less digits than its factorization.

6312680820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32529 (or 32524 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6312680820 is about 79452.3808327982. The cubic root of 6312680820 is about 1848.1530942208.

The spelling of 6312680820 in words is "six billion, three hundred twelve million, six hundred eighty thousand, eight hundred twenty".