2768078831616 has 1088 divisors, whose sum is σ = 9905192755200. Its totient is φ = 756767784960.

The previous prime is 2768078831411. The next prime is 2768078831669. The reversal of 2768078831616 is 6161388708672.

2768078831616 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 0 + 7 + 8 + 8 + 3 + 1 + 616 = 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 63 ways as a sum of consecutive naturals, for example, 31102009300 + ... + 31102009388.

Almost surely, 2^{2768078831616} 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 2768078831616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952596377600).

2768078831616 is an abundant number, since it is smaller than the sum of its proper divisors (7137113923584).

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

2768078831616 is an frugal number, since it uses more digits than its factorization.

2768078831616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 2768078831616 in words is "two trillion, seven hundred sixty-eight billion, seventy-eight million, eight hundred thirty-one thousand, six hundred sixteen".