670363374875040 has 1920 divisors, whose sum is σ = 3163427539937280. Its totient is φ = 129474804326400.

The previous prime is 670363374875017. The next prime is 670363374875041. The reversal of 670363374875040 is 40578473363076.

It is a happy number.

670363374875040 is a `hidden beast` number, since 6 + 7 + 0 + 3 + 63 + 3 + 7 + 487 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (670363374875041) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1004571895 + ... + 1005238985.

It is an arithmetic number, because the mean of its divisors is an integer number (1647618510384).

Almost surely, 2^{670363374875040} is an apocalyptic number.

670363374875040 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 670363374875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581713769968640).

670363374875040 is an abundant number, since it is smaller than the sum of its proper divisors (2493064165062240).

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

670363374875040 is a wasteful number, since it uses less digits than its factorization.

670363374875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667208 (or 667191 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 63.

The spelling of 670363374875040 in words is "six hundred seventy trillion, three hundred sixty-three billion, three hundred seventy-four million, eight hundred seventy-five thousand, forty".