745904791632 has 960 divisors, whose sum is σ = 2793961175040. Its totient is φ = 168086016000.

The previous prime is 745904791627. The next prime is 745904791669. The reversal of 745904791632 is 236197409547.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 964947598 + ... + 964948370.

It is an arithmetic number, because the mean of its divisors is an integer number (2910376224).

Almost surely, 2^745904791632 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 745904791632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396980587520).

745904791632 is an abundant number, since it is smaller than the sum of its proper divisors (2048056383408).

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

745904791632 is a wasteful number, since it uses less digits than its factorization.

745904791632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 745904791632 in words is "seven hundred forty-five billion, nine hundred four million, seven hundred ninety-one thousand, six hundred thirty-two".