2684765664000 has 3888 divisors, whose sum is σ = 12963168481536. Its totient is φ = 529514496000.

The previous prime is 2684765663963. The next prime is 2684765664023. The reversal of 2684765664000 is 4665674862.

2684765664000 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 76 + 566 + 4 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 86605343985 + ... + 86605344015.

It is an arithmetic number, because the mean of its divisors is an integer number (3334148272).

Almost surely, 2^{2684765664000} is an apocalyptic number.

2684765664000 is a gapful number since it is divisible by the number (20) 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 2684765664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481584240768).

2684765664000 is an abundant number, since it is smaller than the sum of its proper divisors (10278402817536).

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

2684765664000 is a wasteful number, since it uses less digits than its factorization.

2684765664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2684765664000 in words is "two trillion, six hundred eighty-four billion, seven hundred sixty-five million, six hundred sixty-four thousand".