6129857664 has 432 divisors, whose sum is σ = 21390083910. Its totient is φ = 1679892480.

The previous prime is 6129857659. The next prime is 6129857683. The reversal of 6129857664 is 4667589216.

6129857664 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 8 + 576 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6102734400 + 27123264 = 78120^2 + 5208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6129857664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 54246472 + ... + 54246584.

Almost surely, 2^6129857664 is an apocalyptic number.

6129857664 is a gapful number since it is divisible by the number (64) 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 6129857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10695041955).

6129857664 is an abundant number, since it is smaller than the sum of its proper divisors (15260226246).

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

6129857664 is a wasteful number, since it uses less digits than its factorization.

6129857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 156 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 6129857664 is about 78293.4075385661. The cubic root of 6129857664 is about 1830.1364191055.

The spelling of 6129857664 in words is "six billion, one hundred twenty-nine million, eight hundred fifty-seven thousand, six hundred sixty-four".