714377664 has 672 divisors, whose sum is σ = 2918764800. Its totient is φ = 168376320.

The previous prime is 714377659. The next prime is 714377681. The reversal of 714377664 is 466773417.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12108067 + ... + 12108125.

It is an arithmetic number, because the mean of its divisors is an integer number (4343400).

Almost surely, 2^714377664 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 714377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459382400).

714377664 is an abundant number, since it is smaller than the sum of its proper divisors (2204387136).

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

714377664 is a wasteful number, since it uses less digits than its factorization.

714377664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 714377664 is about 26727.8443575235. The cubic root of 714377664 is about 893.9418907323.

The spelling of 714377664 in words is "seven hundred fourteen million, three hundred seventy-seven thousand, six hundred sixty-four".