670709306880 has 640 divisors, whose sum is σ = 2533513023360. Its totient is φ = 167604387840.

The previous prime is 670709306867. The next prime is 670709306881. The reversal of 670709306880 is 88603907076.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670709306881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301984170 + ... + 301986390.

It is an arithmetic number, because the mean of its divisors is an integer number (3958614099).

Almost surely, 2^670709306880 is an apocalyptic number.

670709306880 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 670709306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266756511680).

670709306880 is an abundant number, since it is smaller than the sum of its proper divisors (1862803716480).

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

670709306880 is a wasteful number, since it uses less digits than its factorization.

670709306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 670709306880 in words is "six hundred seventy billion, seven hundred nine million, three hundred six thousand, eight hundred eighty".