6122166624 has 720 divisors, whose sum is σ = 22942180800. Its totient is φ = 1591156224.

The previous prime is 6122166601. The next prime is 6122166679. The reversal of 6122166624 is 4266612216.

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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 103765507 + ... + 103765565.

It is an arithmetic number, because the mean of its divisors is an integer number (31864140).

Almost surely, 2^6122166624 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 6122166624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11471090400).

6122166624 is an abundant number, since it is smaller than the sum of its proper divisors (16820014176).

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

6122166624 is a wasteful number, since it uses less digits than its factorization.

6122166624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

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

The square root of 6122166624 is about 78244.2753433119. The cubic root of 6122166624 is about 1829.3706839058.

The spelling of 6122166624 in words is "six billion, one hundred twenty-two million, one hundred sixty-six thousand, six hundred twenty-four".