756418464 has 72 divisors (see below), whose sum is σ = 2164895460. Its totient is φ = 250518528.

The previous prime is 756418463. The next prime is 756418493. The reversal of 756418464 is 464814657.

756418464 is a `hidden beast` number, since 7 + 564 + 1 + 84 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 755810064 + 608400 = 27492^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (756418463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36852 + ... + 53580.

Almost surely, 2^756418464 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 756418464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082447730).

756418464 is an abundant number, since it is smaller than the sum of its proper divisors (1408476996).

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

756418464 is a wasteful number, since it uses less digits than its factorization.

756418464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16902 (or 16891 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 756418464 is about 27503.0628112579. The cubic root of 756418464 is about 911.1447429893.

The spelling of 756418464 in words is "seven hundred fifty-six million, four hundred eighteen thousand, four hundred sixty-four".