756413664 has 48 divisors (see below), whose sum is σ = 2018152080. Its totient is φ = 248002560.

The previous prime is 756413653. The next prime is 756413711. The reversal of 756413664 is 466314657.

756413664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58729 + ... + 70440.

It is an arithmetic number, because the mean of its divisors is an integer number (42044835).

Almost surely, 2^756413664 is an apocalyptic number.

It is an amenable number.

756413664 is an abundant number, since it is smaller than the sum of its proper divisors (1261738416).

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

756413664 is a wasteful number, since it uses less digits than its factorization.

756413664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129243 (or 129235 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 756413664 is about 27502.9755481112. The cubic root of 756413664 is about 911.1428157033.

The spelling of 756413664 in words is "seven hundred fifty-six million, four hundred thirteen thousand, six hundred sixty-four".