675638599680 has 1568 divisors, whose sum is σ = 2831251343328. Its totient is φ = 154156400640.

The previous prime is 675638599679. The next prime is 675638599711. The reversal of 675638599680 is 86995836576.

675638599680 is a `hidden beast` number, since 6 + 7 + 563 + 8 + 59 + 9 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×675638599680² (a number of 24 digits) contains 22 as substring.

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 = 675638599599 and 675638599608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 39743447032 + ... + 39743447048.

Almost surely, 2^675638599680 is an apocalyptic number.

675638599680 is a gapful number since it is divisible by the number (60) 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 675638599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415625671664).

675638599680 is an abundant number, since it is smaller than the sum of its proper divisors (2155612743648).

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

675638599680 is an frugal number, since it uses more digits than its factorization.

675638599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 675638599680 in words is "six hundred seventy-five billion, six hundred thirty-eight million, five hundred ninety-nine thousand, six hundred eighty".