672208225920 has 2048 divisors, whose sum is σ = 3143467008000. Its totient is φ = 131681894400.

The previous prime is 672208225919. The next prime is 672208225943. The reversal of 672208225920 is 29522802276.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1773636291 + ... + 1773636669.

It is an arithmetic number, because the mean of its divisors is an integer number (1534896000).

Almost surely, 2^672208225920 is an apocalyptic number.

672208225920 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 672208225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571733504000).

672208225920 is an abundant number, since it is smaller than the sum of its proper divisors (2471258782080).

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

672208225920 is a wasteful number, since it uses less digits than its factorization.

672208225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 672208225920 in words is "six hundred seventy-two billion, two hundred eight million, two hundred twenty-five thousand, nine hundred twenty".