6100631856 has 160 divisors (see below), whose sum is σ = 19719690240. Its totient is φ = 1788998400.

The previous prime is 6100631843. The next prime is 6100631861. The reversal of 6100631856 is 6581360016.

It is a happy number.

6100631856 is a `hidden beast` number, since 6 + 10 + 0 + 631 + 8 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6100631856.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126606 + ... + 168018.

It is an arithmetic number, because the mean of its divisors is an integer number (123248064).

Almost surely, 2^6100631856 is an apocalyptic number.

6100631856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6100631856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9859845120).

6100631856 is an abundant number, since it is smaller than the sum of its proper divisors (13619058384).

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

6100631856 is a wasteful number, since it uses less digits than its factorization.

6100631856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41472 (or 41460 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6100631856 is about 78106.5416978629. The cubic root of 6100631856 is about 1827.2232222316.

The spelling of 6100631856 in words is "six billion, one hundred million, six hundred thirty-one thousand, eight hundred fifty-six".