2678004653688 has 1280 divisors, whose sum is σ = 9964297728000. Its totient is φ = 652389728256.

The previous prime is 2678004653677. The next prime is 2678004653777. The reversal of 2678004653688 is 8863564008762.

2678004653688 is a `hidden beast` number, since 2 + 67 + 8 + 0 + 0 + 465 + 36 + 88 = 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 319 ways as a sum of consecutive naturals, for example, 11205040273 + ... + 11205040511.

It is an arithmetic number, because the mean of its divisors is an integer number (7784607600).

Almost surely, 2^{2678004653688} is an apocalyptic number.

2678004653688 is a gapful number since it is divisible by the number (28) 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 2678004653688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982148864000).

2678004653688 is an abundant number, since it is smaller than the sum of its proper divisors (7286293074312).

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

2678004653688 is a wasteful number, since it uses less digits than its factorization.

2678004653688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2678004653688 in words is "two trillion, six hundred seventy-eight billion, four million, six hundred fifty-three thousand, six hundred eighty-eight".