670683743136 has 576 divisors, whose sum is σ = 2210177249280. Its totient is φ = 191020032000.

The previous prime is 670683743123. The next prime is 670683743153. The reversal of 670683743136 is 631347386076.

670683743136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×670683743136² (a number of 24 digits) contains 22 as substring.

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, 1017729175 + ... + 1017729833.

It is an arithmetic number, because the mean of its divisors is an integer number (3837113280).

Almost surely, 2^670683743136 is an apocalyptic number.

670683743136 is a gapful number since it is divisible by the number (66) 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 670683743136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105088624640).

670683743136 is an abundant number, since it is smaller than the sum of its proper divisors (1539493506144).

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

670683743136 is a wasteful number, since it uses less digits than its factorization.

670683743136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 670683743136 in words is "six hundred seventy billion, six hundred eighty-three million, seven hundred forty-three thousand, one hundred thirty-six".