112627700640 has 1056 divisors, whose sum is σ = 494977101696. Its totient is φ = 23581808640.

The previous prime is 112627700639. The next prime is 112627700651. The reversal of 112627700640 is 46007726211.

112627700640 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 2 + 7 + 7 + 0 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112627700595 and 112627700604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 859753375 + ... + 859753505.

It is an arithmetic number, because the mean of its divisors is an integer number (468728316).

Almost surely, 2^112627700640 is an apocalyptic number.

112627700640 is a gapful number since it is divisible by the number (10) 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 112627700640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247488550848).

112627700640 is an abundant number, since it is smaller than the sum of its proper divisors (382349401056).

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

112627700640 is an equidigital number, since it uses as much as digits as its factorization.

112627700640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 112627700640 in words is "one hundred twelve billion, six hundred twenty-seven million, seven hundred thousand, six hundred forty".