2648006000640 has 3264 divisors, whose sum is σ = 13263294689280. Its totient is φ = 485826232320.

The previous prime is 2648006000623. The next prime is 2648006000683. The reversal of 2648006000640 is 460006008462.

It is a happy number.

2648006000640 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 0 + 0 + 6 + 0 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2648006000595 and 2648006000604.

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, 115130695669 + ... + 115130695691.

Almost surely, 2^{2648006000640} is an apocalyptic number.

2648006000640 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 2648006000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631647344640).

2648006000640 is an abundant number, since it is smaller than the sum of its proper divisors (10615288688640).

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

2648006000640 is a wasteful number, since it uses less digits than its factorization.

2648006000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2648006000640 in words is "two trillion, six hundred forty-eight billion, six million, six hundred forty", and thus it is an aban number.