746580636 has 108 divisors (see below), whose sum is σ = 2034260592. Its totient is φ = 230777856.

The previous prime is 746580629. The next prime is 746580641. The reversal of 746580636 is 636085647.

746580636 is a `hidden beast` number, since 7 + 4 + 6 + 5 + 8 + 0 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 746580591 and 746580600.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 759001 + ... + 759983.

Almost surely, 2^746580636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746580636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017130296).

746580636 is an abundant number, since it is smaller than the sum of its proper divisors (1287679956).

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

746580636 is a wasteful number, since it uses less digits than its factorization.

746580636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 746580636 is about 27323.6277972015. The cubic root of 746580636 is about 907.1774378971.

The spelling of 746580636 in words is "seven hundred forty-six million, five hundred eighty thousand, six hundred thirty-six".