6076105664 has 56 divisors (see below), whose sum is σ = 12405561168. Its totient is φ = 2950594560.

The previous prime is 6076105649. The next prime is 6076105667. The reversal of 6076105664 is 4665016706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6076105667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1515887 + ... + 1519889.

It is an arithmetic number, because the mean of its divisors is an integer number (221527878).

Almost surely, 2^6076105664 is an apocalyptic number.

6076105664 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 6076105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202780584).

6076105664 is an abundant number, since it is smaller than the sum of its proper divisors (6329455504).

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

6076105664 is a wasteful number, since it uses less digits than its factorization.

6076105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4693 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 6076105664 is about 77949.3788557677. The cubic root of 6076105664 is about 1824.7712894349.

The spelling of 6076105664 in words is "six billion, seventy-six million, one hundred five thousand, six hundred sixty-four".