2693607625728 has 264 divisors, whose sum is σ = 7853298665472. Its totient is φ = 889172508672.

The previous prime is 2693607625703. The next prime is 2693607625889. The reversal of 2693607625728 is 8275267063962.

It is a happy number.

2693607625728 is a `hidden beast` number, since 26 + 9 + 36 + 0 + 7 + 6 + 2 + 572 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757267726 + ... + 757271282.

Almost surely, 2^{2693607625728} 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 2693607625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926649332736).

2693607625728 is an abundant number, since it is smaller than the sum of its proper divisors (5159691039744).

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

2693607625728 is a wasteful number, since it uses less digits than its factorization.

2693607625728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 2693607625728 in words is "two trillion, six hundred ninety-three billion, six hundred seven million, six hundred twenty-five thousand, seven hundred twenty-eight".