752123664 has 160 divisors (see below), whose sum is σ = 2326438400. Its totient is φ = 231880320.

The previous prime is 752123641. The next prime is 752123699. The reversal of 752123664 is 466321257.

752123664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351879 + ... + 354009.

It is an arithmetic number, because the mean of its divisors is an integer number (14540240).

Almost surely, 2^752123664 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 752123664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163219200).

752123664 is an abundant number, since it is smaller than the sum of its proper divisors (1574314736).

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

752123664 is a wasteful number, since it uses less digits than its factorization.

752123664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2198 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 752123664 is about 27424.8730899525. The cubic root of 752123664 is about 909.4170335337.

The spelling of 752123664 in words is "seven hundred fifty-two million, one hundred twenty-three thousand, six hundred sixty-four".