745512768 has 448 divisors, whose sum is σ = 2949488640. Its totient is φ = 178329600.

The previous prime is 745512721. The next prime is 745512793. The reversal of 745512768 is 867215547.

745512768 is a `hidden beast` number, since 74 + 5 + 512 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1729513 + ... + 1729943.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^745512768 is an apocalyptic number.

745512768 is a gapful number since it is divisible by the number (78) 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 745512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474744320).

745512768 is an abundant number, since it is smaller than the sum of its proper divisors (2203975872).

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

745512768 is a wasteful number, since it uses less digits than its factorization.

745512768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 467 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 745512768 is about 27304.0796951664. The cubic root of 745512768 is about 906.7447058933.

The spelling of 745512768 in words is "seven hundred forty-five million, five hundred twelve thousand, seven hundred sixty-eight".