670044856320 has 1344 divisors, whose sum is σ = 2816638755840. Its totient is φ = 149633630208.

The previous prime is 670044856297. The next prime is 670044856339. The reversal of 670044856320 is 23658440076.

670044856320 is a `hidden beast` number, since 6 + 7 + 0 + 0 + 4 + 4 + 8 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4110704559 + ... + 4110704721.

It is an arithmetic number, because the mean of its divisors is an integer number (2095713360).

Almost surely, 2^670044856320 is an apocalyptic number.

670044856320 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 670044856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408319377920).

670044856320 is an abundant number, since it is smaller than the sum of its proper divisors (2146593899520).

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

670044856320 is an equidigital number, since it uses as much as digits as its factorization.

670044856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 670044856320 in words is "six hundred seventy billion, forty-four million, eight hundred fifty-six thousand, three hundred twenty".