745856932032 has 140 divisors (see below), whose sum is σ = 2212575819696. Its totient is φ = 248436564480.

The previous prime is 745856932027. The next prime is 745856932033. The reversal of 745856932032 is 230239658547.

745856932032 is a `hidden beast` number, since 7 + 4 + 58 + 569 + 3 + 20 + 3 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 745856932032.

It is not an unprimeable number, because it can be changed into a prime (745856932033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7107013 + ... + 7211195.

Almost surely, 2^745856932032 is an apocalyptic number.

745856932032 is a gapful number since it is divisible by the number (72) 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 745856932032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106287909848).

745856932032 is an abundant number, since it is smaller than the sum of its proper divisors (1466718887664).

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

745856932032 is a wasteful number, since it uses less digits than its factorization.

745856932032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105588 (or 105569 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 745856932032 in words is "seven hundred forty-five billion, eight hundred fifty-six million, nine hundred thirty-two thousand, thirty-two".