746107866560 has 56 divisors (see below), whose sum is σ = 2030479271520. Its totient is φ = 255808410624.

The previous prime is 746107866533. The next prime is 746107866583. The reversal of 746107866560 is 65668701647.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 746107866496 and 746107866505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166539695 + ... + 166544174.

It is an arithmetic number, because the mean of its divisors is an integer number (36258558420).

Almost surely, 2^746107866560 is an apocalyptic number.

746107866560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

746107866560 is an abundant number, since it is smaller than the sum of its proper divisors (1284371404960).

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

746107866560 is a wasteful number, since it uses less digits than its factorization.

746107866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333083893 (or 333083883 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 746107866560 in words is "seven hundred forty-six billion, one hundred seven million, eight hundred sixty-six thousand, five hundred sixty".