745528476505680 has 960 divisors, whose sum is σ = 3225021017587200. Its totient is φ = 150234171310080.

The previous prime is 745528476505633. The next prime is 745528476505693. The reversal of 745528476505680 is 86505674825547.

745528476505680 is a `hidden beast` number, since 7 + 4 + 5 + 5 + 2 + 8 + 4 + 7 + 6 + 50 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 745528476505599 and 745528476505608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142312050 + ... + 147457710.

It is an arithmetic number, because the mean of its divisors is an integer number (3359396893320).

Almost surely, 2^{745528476505680} is an apocalyptic number.

745528476505680 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 745528476505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612510508793600).

745528476505680 is an abundant number, since it is smaller than the sum of its proper divisors (2479492541081520).

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

745528476505680 is a wasteful number, since it uses less digits than its factorization.

745528476505680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145812 (or 5145803 counting only the distinct ones).

The product of its (nonzero) digits is 2257920000, while the sum is 72.

The spelling of 745528476505680 in words is "seven hundred forty-five trillion, five hundred twenty-eight billion, four hundred seventy-six million, five hundred five thousand, six hundred eighty".