670348673280 has 2304 divisors, whose sum is σ = 3016355328000. Its totient is φ = 139704238080.

The previous prime is 670348673257. The next prime is 670348673311. The reversal of 670348673280 is 82376843076.

670348673280 is a `hidden beast` number, since 6 + 70 + 3 + 486 + 73 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11361841891 + ... + 11361841949.

It is an arithmetic number, because the mean of its divisors is an integer number (1309182000).

Almost surely, 2^670348673280 is an apocalyptic number.

670348673280 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 670348673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508177664000).

670348673280 is an abundant number, since it is smaller than the sum of its proper divisors (2346006654720).

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

670348673280 is a wasteful number, since it uses less digits than its factorization.

670348673280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 670348673280 in words is "six hundred seventy billion, three hundred forty-eight million, six hundred seventy-three thousand, two hundred eighty".