745930906560 has 336 divisors, whose sum is σ = 2933981586432. Its totient is φ = 170396006400.

The previous prime is 745930906471. The next prime is 745930906573. The reversal of 745930906560 is 65609039547.

745930906560 is a `hidden beast` number, since 7 + 45 + 9 + 30 + 9 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×745930906560² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 745930906497 and 745930906506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36499545 + ... + 36519975.

Almost surely, 2^745930906560 is an apocalyptic number.

745930906560 is a gapful number since it is divisible by the number (70) 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 745930906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466990793216).

745930906560 is an abundant number, since it is smaller than the sum of its proper divisors (2188050679872).

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

745930906560 is a wasteful number, since it uses less digits than its factorization.

745930906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22272 (or 22259 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 745930906560 in words is "seven hundred forty-five billion, nine hundred thirty million, nine hundred six thousand, five hundred sixty".