752340042064 has 160 divisors (see below), whose sum is σ = 1711022987520. Its totient is φ = 317286014976.

The previous prime is 752340042019. The next prime is 752340042071. The reversal of 752340042064 is 460240043257.

It is a super-2 number, since 2×752340042064² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 25377202 + ... + 25406830.

It is an arithmetic number, because the mean of its divisors is an integer number (10693893672).

Almost surely, 2^752340042064 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 752340042064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855511493760).

752340042064 is an abundant number, since it is smaller than the sum of its proper divisors (958682945456).

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

752340042064 is a wasteful number, since it uses less digits than its factorization.

752340042064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29877 (or 29871 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

The spelling of 752340042064 in words is "seven hundred fifty-two billion, three hundred forty million, forty-two thousand, sixty-four".