2653679202768 has 120 divisors (see below), whose sum is σ = 8363110369536. Its totient is φ = 778205030400.

The previous prime is 2653679202767. The next prime is 2653679202809. The reversal of 2653679202768 is 8672029763562.

It is a happy number.

2653679202768 is a `hidden beast` number, since 2 + 6 + 5 + 367 + 9 + 202 + 7 + 68 = 666.

It is a super-2 number, since 2×2653679202768² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653679202767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26971905 + ... + 27070112.

Almost surely, 2^{2653679202768} is an apocalyptic number.

It is an amenable number.

2653679202768 is an abundant number, since it is smaller than the sum of its proper divisors (5709431166768).

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

2653679202768 is a wasteful number, since it uses less digits than its factorization.

2653679202768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54042073 (or 54042064 counting only the distinct ones).

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

The spelling of 2653679202768 in words is "two trillion, six hundred fifty-three billion, six hundred seventy-nine million, two hundred two thousand, seven hundred sixty-eight".