670581342816 has 384 divisors, whose sum is σ = 2234007724032. Its totient is φ = 171072000000.

The previous prime is 670581342751. The next prime is 670581342829. The reversal of 670581342816 is 618243185076.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135441141 + ... + 135446091.

It is an arithmetic number, because the mean of its divisors is an integer number (5817728448).

Almost surely, 2^670581342816 is an apocalyptic number.

670581342816 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 670581342816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117003862016).

670581342816 is an abundant number, since it is smaller than the sum of its proper divisors (1563426381216).

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

670581342816 is a wasteful number, since it uses less digits than its factorization.

670581342816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 670581342816 in words is "six hundred seventy billion, five hundred eighty-one million, three hundred forty-two thousand, eight hundred sixteen".