2643840864000 has 1728 divisors, whose sum is σ = 11443863150720. Its totient is φ = 599342284800.

The previous prime is 2643840863977. The next prime is 2643840864023. The reversal of 2643840864000 is 4680483462.

2643840864000 is a `hidden beast` number, since 264 + 384 + 0 + 8 + 6 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2643840863977) and next prime (2643840864023).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8340191842 + ... + 8340192158.

It is an arithmetic number, because the mean of its divisors is an integer number (6622605990).

Almost surely, 2^{2643840864000} is an apocalyptic number.

2643840864000 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 2643840864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721931575360).

2643840864000 is an abundant number, since it is smaller than the sum of its proper divisors (8800022286720).

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

2643840864000 is a wasteful number, since it uses less digits than its factorization.

2643840864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 2643840864000 in words is "two trillion, six hundred forty-three billion, eight hundred forty million, eight hundred sixty-four thousand".