670895248248960 has 512 divisors, whose sum is σ = 2558383439339520. Its totient is φ = 146211555409920.

The previous prime is 670895248248943. The next prime is 670895248249019. The reversal of 670895248248960 is 69842842598076.

It is a super-2 number, since 2×670895248248960² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93287565 + ... + 100221555.

It is an arithmetic number, because the mean of its divisors is an integer number (4996842654960).

Almost surely, 2^{670895248248960} is an apocalyptic number.

670895248248960 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 670895248248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279191719669760).

670895248248960 is an abundant number, since it is smaller than the sum of its proper divisors (1887488191090560).

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

670895248248960 is a wasteful number, since it uses less digits than its factorization.

670895248248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6934356 (or 6934344 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 78.

The spelling of 670895248248960 in words is "six hundred seventy trillion, eight hundred ninety-five billion, two hundred forty-eight million, two hundred forty-eight thousand, nine hundred sixty".