746561664 has 256 divisors, whose sum is σ = 2375049600. Its totient is φ = 230031360.

The previous prime is 746561659. The next prime is 746561687. The reversal of 746561664 is 466165647.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5698879 + ... + 5699009.

Almost surely, 2^746561664 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 746561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187524800).

746561664 is an abundant number, since it is smaller than the sum of its proper divisors (1628487936).

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

746561664 is a wasteful number, since it uses less digits than its factorization.

746561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

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

The square root of 746561664 is about 27323.2806229413. The cubic root of 746561664 is about 907.1697534777.

The spelling of 746561664 in words is "seven hundred forty-six million, five hundred sixty-one thousand, six hundred sixty-four".