672713664 has 112 divisors (see below), whose sum is σ = 2153887488. Its totient is φ = 180891648.

The previous prime is 672713653. The next prime is 672713731. The reversal of 672713664 is 466317276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 8127 + ... + 37569.

Almost surely, 2^672713664 is an apocalyptic number.

672713664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076943744).

672713664 is an abundant number, since it is smaller than the sum of its proper divisors (1481173824).

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

672713664 is a wasteful number, since it uses less digits than its factorization.

672713664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29482 (or 29472 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 672713664 is about 25936.7242341819. The cubic root of 672713664 is about 876.2137882326.

The spelling of 672713664 in words is "six hundred seventy-two million, seven hundred thirteen thousand, six hundred sixty-four".