672416640 has 640 divisors, whose sum is σ = 2932459200. Its totient is φ = 143327232.

The previous prime is 672416611. The next prime is 672416653. The reversal of 672416640 is 46614276.

672416640 is a `hidden beast` number, since 6 + 7 + 2 + 4 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 672416595 and 672416604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6168906 + ... + 6169014.

Almost surely, 2^672416640 is an apocalyptic number.

672416640 is a gapful number since it is divisible by the number (60) 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 672416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466229600).

672416640 is an abundant number, since it is smaller than the sum of its proper divisors (2260042560).

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

672416640 is a wasteful number, since it uses less digits than its factorization.

672416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 672416640 is about 25930.9976668851. The cubic root of 672416640 is about 876.0848107041.

The spelling of 672416640 in words is "six hundred seventy-two million, four hundred sixteen thousand, six hundred forty".