6129540864 has 108 divisors (see below), whose sum is σ = 18327718136. Its totient is φ = 2043159552.

The previous prime is 6129540839. The next prime is 6129540881. The reversal of 6129540864 is 4680459216.

6129540864 is a `hidden beast` number, since 6 + 1 + 29 + 540 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12942 + ... + 111474.

Almost surely, 2^6129540864 is an apocalyptic number.

6129540864 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 6129540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9163859068).

6129540864 is an abundant number, since it is smaller than the sum of its proper divisors (12198177272).

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

6129540864 is an frugal number, since it uses more digits than its factorization.

6129540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98564 (or 98538 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6129540864 is about 78291.3843535801. The cubic root of 6129540864 is about 1830.1048905210.

The spelling of 6129540864 in words is "six billion, one hundred twenty-nine million, five hundred forty thousand, eight hundred sixty-four".