2678545630656 has 840 divisors, whose sum is σ = 9748628102400. Its totient is φ = 723074688000.

The previous prime is 2678545630639. The next prime is 2678545630681. The reversal of 2678545630656 is 6560365458762.

2678545630656 is a `hidden beast` number, since 2 + 6 + 7 + 8 + 5 + 4 + 563 + 0 + 65 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2678545630593 and 2678545630602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3566638281 + ... + 3566639031.

Almost surely, 2^{2678545630656} 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 2678545630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874314051200).

2678545630656 is an abundant number, since it is smaller than the sum of its proper divisors (7070082471744).

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

2678545630656 is a wasteful number, since it uses less digits than its factorization.

2678545630656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 2678545630656 in words is "two trillion, six hundred seventy-eight billion, five hundred forty-five million, six hundred thirty thousand, six hundred fifty-six".