6115664304 has 240 divisors, whose sum is σ = 18938162880. Its totient is φ = 1835581440.

The previous prime is 6115664297. The next prime is 6115664309. The reversal of 6115664304 is 4034665116.

It is a happy number.

6115664304 is a `hidden beast` number, since 6 + 1 + 1 + 5 + 6 + 643 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6115664309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3937192 + ... + 3938744.

It is an arithmetic number, because the mean of its divisors is an integer number (78909012).

Almost surely, 2^6115664304 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 6115664304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469081440).

6115664304 is an abundant number, since it is smaller than the sum of its proper divisors (12822498576).

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

6115664304 is a wasteful number, since it uses less digits than its factorization.

6115664304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6115664304 is about 78202.7128941190. The cubic root of 6115664304 is about 1828.7227995830.

The spelling of 6115664304 in words is "six billion, one hundred fifteen million, six hundred sixty-four thousand, three hundred four".