2670679351296 has 1680 divisors, whose sum is σ = 9618011061120. Its totient is φ = 735746457600.

The previous prime is 2670679351247. The next prime is 2670679351313. The reversal of 2670679351296 is 6921539760762.

2670679351296 is a `hidden beast` number, since 26 + 7 + 0 + 6 + 7 + 9 + 3 + 512 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72180522990 + ... + 72180523026.

It is an arithmetic number, because the mean of its divisors is an integer number (5725006584).

Almost surely, 2^{2670679351296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2670679351296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809005530560).

2670679351296 is an abundant number, since it is smaller than the sum of its proper divisors (6947331709824).

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

2670679351296 is a wasteful number, since it uses less digits than its factorization.

2670679351296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 2670679351296 in words is "two trillion, six hundred seventy billion, six hundred seventy-nine million, three hundred fifty-one thousand, two hundred ninety-six".