756392005264 has 135 divisors (see below), whose sum is σ = 1729100784987. Its totient is φ = 319607253504.

The previous prime is 756392005189. The next prime is 756392005267. The reversal of 756392005264 is 462500293657.

The square root of 756392005264 is 869708.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5881662864 + 750510342400 = 76692^2 + 866320^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (756392005267) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2167312162 + ... + 2167312510.

Almost surely, 2^756392005264 is an apocalyptic number.

756392005264 is the 869708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756392005264

756392005264 is an abundant number, since it is smaller than the sum of its proper divisors (972708779723).

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

756392005264 is an frugal number, since it uses more digits than its factorization.

756392005264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

Multiplying 756392005264 by its sum of digits (49), we get a square (37063208257936 = 6087956²).

756392005264 divided by its sum of digits (49) gives a square (15436571536 = 124244²).

The spelling of 756392005264 in words is "seven hundred fifty-six billion, three hundred ninety-two million, five thousand, two hundred sixty-four".