672468480 has 480 divisors, whose sum is σ = 2573835264. Its totient is φ = 167878656.

The previous prime is 672468479. The next prime is 672468487. The reversal of 672468480 is 84864276.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672468487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14307817 + ... + 14307863.

Almost surely, 2^672468480 is an apocalyptic number.

672468480 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 672468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286917632).

672468480 is an abundant number, since it is smaller than the sum of its proper divisors (1901366784).

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

672468480 is an equidigital number, since it uses as much as digits as its factorization.

672468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 672468480 is about 25931.9972235075. The cubic root of 672468480 is about 876.1073240620.

The spelling of 672468480 in words is "six hundred seventy-two million, four hundred sixty-eight thousand, four hundred eighty".