672071093760 has 800 divisors, whose sum is σ = 2435725353600. Its totient is φ = 157992468480.

The previous prime is 672071093753. The next prime is 672071093773. The reversal of 672071093760 is 67390170276.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4835043771 + ... + 4835043909.

It is an arithmetic number, because the mean of its divisors is an integer number (3044656692).

Almost surely, 2^672071093760 is an apocalyptic number.

672071093760 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 672071093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217862676800).

672071093760 is an abundant number, since it is smaller than the sum of its proper divisors (1763654259840).

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

672071093760 is an equidigital number, since it uses as much as digits as its factorization.

672071093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 48.

The spelling of 672071093760 in words is "six hundred seventy-two billion, seventy-one million, ninety-three thousand, seven hundred sixty".