672080640 has 288 divisors, whose sum is σ = 2677280256. Its totient is φ = 139591680.

The previous prime is 672080603. The next prime is 672080653. The reversal of 672080640 is 46080276.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294544 + ... + 296816.

It is an arithmetic number, because the mean of its divisors is an integer number (9296112).

Almost surely, 2^672080640 is an apocalyptic number.

672080640 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 672080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338640128).

672080640 is an abundant number, since it is smaller than the sum of its proper divisors (2005199616).

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

672080640 is a wasteful number, since it uses less digits than its factorization.

672080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 672080640 is about 25924.5181247405. The cubic root of 672080640 is about 875.9388627293.

The spelling of 672080640 in words is "six hundred seventy-two million, eighty thousand, six hundred forty".