737897664 has 168 divisors, whose sum is σ = 2327714928. Its totient is φ = 205578240.

The previous prime is 737897659. The next prime is 737897687. The reversal of 737897664 is 466798737.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384772 + ... + 386684.

It is an arithmetic number, because the mean of its divisors is an integer number (13855446).

Almost surely, 2^737897664 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 737897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163857464).

737897664 is an abundant number, since it is smaller than the sum of its proper divisors (1589817264).

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

737897664 is a wasteful number, since it uses less digits than its factorization.

737897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1966 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 57.

The square root of 737897664 is about 27164.2718290036. The cubic root of 737897664 is about 903.6467933850.

The spelling of 737897664 in words is "seven hundred thirty-seven million, eight hundred ninety-seven thousand, six hundred sixty-four".