670742392320 has 1920 divisors, whose sum is σ = 3157237923840. Its totient is φ = 127083479040.

The previous prime is 670742392273. The next prime is 670742392321. The reversal of 670742392320 is 23293247076.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (670742392321) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2929005966 + ... + 2929006194.

It is an arithmetic number, because the mean of its divisors is an integer number (1644394752).

Almost surely, 2^670742392320 is an apocalyptic number.

670742392320 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 670742392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578618961920).

670742392320 is an abundant number, since it is smaller than the sum of its proper divisors (2486495531520).

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

670742392320 is a wasteful number, since it uses less digits than its factorization.

670742392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 670742392320 in words is "six hundred seventy billion, seven hundred forty-two million, three hundred ninety-two thousand, three hundred twenty".