6312678624 has 360 divisors, whose sum is σ = 22545906768. Its totient is φ = 1724405760.

The previous prime is 6312678587. The next prime is 6312678641. The reversal of 6312678624 is 4268762136.

6312678624 is a `hidden beast` number, since 6 + 3 + 12 + 6 + 7 + 8 + 624 = 666.

It is a super-2 number, since 2×6312678624² = 79699822819813066752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6312678624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2920104 + ... + 2922264.

Almost surely, 2^6312678624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6312678624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11272953384).

6312678624 is an abundant number, since it is smaller than the sum of its proper divisors (16233228144).

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

6312678624 is a wasteful number, since it uses less digits than its factorization.

6312678624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2196 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 6312678624 is about 79452.3670131985. The cubic root of 6312678624 is about 1848.1528799143.

The spelling of 6312678624 in words is "six billion, three hundred twelve million, six hundred seventy-eight thousand, six hundred twenty-four".