2607679496016 has 480 divisors, whose sum is σ = 9227242752000. Its totient is φ = 670276518912.

The previous prime is 2607679495991. The next prime is 2607679496033. The reversal of 2607679496016 is 6106949767062.

2607679496016 is a `hidden beast` number, since 2 + 6 + 0 + 76 + 79 + 496 + 0 + 1 + 6 = 666.

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

It is a congruent number.

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, 61207650 + ... + 61250238.

It is an arithmetic number, because the mean of its divisors is an integer number (19223422400).

Almost surely, 2^{2607679496016} 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 2607679496016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613621376000).

2607679496016 is an abundant number, since it is smaller than the sum of its proper divisors (6619563255984).

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

2607679496016 is a wasteful number, since it uses less digits than its factorization.

2607679496016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42791 (or 42782 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 2607679496016 in words is "two trillion, six hundred seven billion, six hundred seventy-nine million, four hundred ninety-six thousand, sixteen".