3056136002640 has 320 divisors, whose sum is σ = 12032291550720. Its totient is φ = 698441564160.

The previous prime is 3056136002611. The next prime is 3056136002659. The reversal of 3056136002640 is 462006316503.

3056136002640 is a `hidden beast` number, since 3 + 0 + 5 + 6 + 1 + 3 + 6 + 0 + 0 + 2 + 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 = 3056136002595 and 3056136002604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153866310 + ... + 153886170.

It is an arithmetic number, because the mean of its divisors is an integer number (37600911096).

Almost surely, 2^{3056136002640} is an apocalyptic number.

3056136002640 is a gapful number since it is divisible by the number (30) 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 3056136002640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016145775360).

3056136002640 is an abundant number, since it is smaller than the sum of its proper divisors (8976155548080).

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

3056136002640 is a wasteful number, since it uses less digits than its factorization.

3056136002640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30067 (or 30055 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3056136002640 in words is "three trillion, fifty-six billion, one hundred thirty-six million, two thousand, six hundred forty".