670038172848000 has 6144 divisors, whose sum is σ = 3009673381478400. Its totient is φ = 146328145920000.

The previous prime is 670038172847999. The next prime is 670038172848007. The reversal of 670038172848000 is 848271830076.

It is a happy number.

670038172848000 is a `hidden beast` number, since 67 + 0 + 0 + 3 + 81 + 7 + 28 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×670038172848000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670038172848007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1687753583802 + ... + 1687753584198.

It is an arithmetic number, because the mean of its divisors is an integer number (489855693600).

Almost surely, 2^{670038172848000} is an apocalyptic number.

670038172848000 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 670038172848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504836690739200).

670038172848000 is an abundant number, since it is smaller than the sum of its proper divisors (2339635208630400).

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

670038172848000 is a wasteful number, since it uses less digits than its factorization.

670038172848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 670038172848000 in words is "six hundred seventy trillion, thirty-eight billion, one hundred seventy-two million, eight hundred forty-eight thousand".