2707742628864 has 880 divisors, whose sum is σ = 10116678421696. Its totient is φ = 702303436800.

The previous prime is 2707742628797. The next prime is 2707742628883. The reversal of 2707742628864 is 4688262477072.

It is a happy number.

2707742628864 is a `hidden beast` number, since 2 + 7 + 0 + 77 + 426 + 2 + 88 + 64 = 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 79 ways as a sum of consecutive naturals, for example, 460419204 + ... + 460425084.

Almost surely, 2^{2707742628864} is an apocalyptic number.

2707742628864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2707742628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058339210848).

2707742628864 is an abundant number, since it is smaller than the sum of its proper divisors (7408935792832).

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

2707742628864 is a wasteful number, since it uses less digits than its factorization.

2707742628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 2707742628864 in words is "two trillion, seven hundred seven billion, seven hundred forty-two million, six hundred twenty-eight thousand, eight hundred sixty-four".