6112662624 has 96 divisors (see below), whose sum is σ = 18121027680. Its totient is φ = 2004134400.

The previous prime is 6112662607. The next prime is 6112662629. The reversal of 6112662624 is 4262662116.

6112662624 is a `hidden beast` number, since 6 + 1 + 1 + 2 + 6 + 626 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6112662629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5287 + ... + 110694.

It is an arithmetic number, because the mean of its divisors is an integer number (188760705).

Almost surely, 2^6112662624 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 6112662624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9060513840).

6112662624 is an abundant number, since it is smaller than the sum of its proper divisors (12008365056).

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

6112662624 is a wasteful number, since it uses less digits than its factorization.

6112662624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116061 (or 116047 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 6112662624 is about 78183.5188770626. The cubic root of 6112662624 is about 1828.4235604108.

The spelling of 6112662624 in words is "six billion, one hundred twelve million, six hundred sixty-two thousand, six hundred twenty-four".