745978844160 has 880 divisors, whose sum is σ = 3088042626240. Its totient is φ = 170187816960.

The previous prime is 745978844153. The next prime is 745978844201. The reversal of 745978844160 is 61448879547.

745978844160 is a `hidden beast` number, since 7 + 4 + 59 + 7 + 88 + 441 + 60 = 666.

745978844160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×745978844160² (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 79 ways as a sum of consecutive naturals, for example, 77547831 + ... + 77557449.

It is an arithmetic number, because the mean of its divisors is an integer number (3509139348).

Almost surely, 2^745978844160 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 745978844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544021313120).

745978844160 is an abundant number, since it is smaller than the sum of its proper divisors (2342063782080).

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

745978844160 is a wasteful number, since it uses less digits than its factorization.

745978844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9684 (or 9657 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 745978844160 in words is "seven hundred forty-five billion, nine hundred seventy-eight million, eight hundred forty-four thousand, one hundred sixty".