6164262720 has 1134 divisors, whose sum is σ = 28612104066. Its totient is φ = 1213470720.

The previous prime is 6164262697. The next prime is 6164262737. The reversal of 6164262720 is 272624616.

6164262720 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 2 + 627 + 20 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4931410176 + 1232852544 = 70224^2 + 35112^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 324434871 + ... + 324434889.

Almost surely, 2^6164262720 is an apocalyptic number.

6164262720 is a gapful number since it is divisible by the number (60) 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 6164262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306052033).

6164262720 is an abundant number, since it is smaller than the sum of its proper divisors (22447841346).

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

6164262720 is a wasteful number, since it uses less digits than its factorization.

6164262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6164262720 is about 78512.8188259726. The cubic root of 6164262720 is about 1833.5540356523.

The spelling of 6164262720 in words is "six billion, one hundred sixty-four million, two hundred sixty-two thousand, seven hundred twenty".