745560859680 has 864 divisors, whose sum is σ = 3187099633536. Its totient is φ = 155380432896.

The previous prime is 745560859663. The next prime is 745560859717. The reversal of 745560859680 is 86958065547.

745560859680 is a `hidden beast` number, since 7 + 4 + 5 + 560 + 8 + 5 + 9 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 141389524 + ... + 141394796.

It is an arithmetic number, because the mean of its divisors is an integer number (3688772724).

Almost surely, 2^745560859680 is an apocalyptic number.

745560859680 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 745560859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593549816768).

745560859680 is an abundant number, since it is smaller than the sum of its proper divisors (2441538773856).

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

745560859680 is a wasteful number, since it uses less digits than its factorization.

745560859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 745560859680 in words is "seven hundred forty-five billion, five hundred sixty million, eight hundred fifty-nine thousand, six hundred eighty".