670778184960 has 1080 divisors, whose sum is σ = 2694493577160. Its totient is φ = 158204067840.

The previous prime is 670778184949. The next prime is 670778185003. The reversal of 670778184960 is 69481877076.

670778184960 is a `hidden beast` number, since 6 + 70 + 7 + 78 + 1 + 8 + 496 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12810617856 + 657967567104 = 113184^2 + 811152^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 5120444095 + ... + 5120444225.

Almost surely, 2^670778184960 is an apocalyptic number.

670778184960 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 670778184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347246788580).

670778184960 is an abundant number, since it is smaller than the sum of its proper divisors (2023715392200).

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

670778184960 is a wasteful number, since it uses less digits than its factorization.

670778184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 670778184960 in words is "six hundred seventy billion, seven hundred seventy-eight million, one hundred eighty-four thousand, nine hundred sixty".