935325738000 has 640 divisors, whose sum is σ = 3552338350080. Its totient is φ = 234835200000.

The previous prime is 935325737993. The next prime is 935325738019. The reversal of 935325738000 is 837523539.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61930450 + ... + 61945550.

It is an arithmetic number, because the mean of its divisors is an integer number (5550528672).

Almost surely, 2^935325738000 is an apocalyptic number.

935325738000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 935325738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776169175040).

935325738000 is an abundant number, since it is smaller than the sum of its proper divisors (2617012612080).

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

935325738000 is a wasteful number, since it uses less digits than its factorization.

935325738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15201 (or 15179 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 935325738000 in words is "nine hundred thirty-five billion, three hundred twenty-five million, seven hundred thirty-eight thousand".