745722736128 has 240 divisors, whose sum is σ = 2230708296960. Its totient is φ = 239631187968.

The previous prime is 745722736079. The next prime is 745722736163. The reversal of 745722736128 is 821637227547.

It is a happy number.

745722736128 is a `hidden beast` number, since 7 + 4 + 57 + 227 + 361 + 2 + 8 = 666.

It is a super-2 number, since 2×745722736128² (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 23 ways as a sum of consecutive naturals, for example, 18564001 + ... + 18604127.

It is an arithmetic number, because the mean of its divisors is an integer number (9294617904).

Almost surely, 2^745722736128 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 745722736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115354148480).

745722736128 is an abundant number, since it is smaller than the sum of its proper divisors (1484985560832).

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

745722736128 is a wasteful number, since it uses less digits than its factorization.

745722736128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40297 (or 40278 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 745722736128 in words is "seven hundred forty-five billion, seven hundred twenty-two million, seven hundred thirty-six thousand, one hundred twenty-eight".