2996656632576 has 360 divisors, whose sum is σ = 8990029540800. Its totient is φ = 992811810816.

The previous prime is 2996656632551. The next prime is 2996656632589. The reversal of 2996656632576 is 6752366566992.

2996656632576 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 6 + 566 + 3 + 2 + 57 + 6 = 666.

2996656632576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3416939850 + ... + 3416940726.

It is an arithmetic number, because the mean of its divisors is an integer number (24972304280).

Almost surely, 2^{2996656632576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2996656632576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495014770400).

2996656632576 is an abundant number, since it is smaller than the sum of its proper divisors (5993372908224).

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

2996656632576 is an equidigital number, since it uses as much as digits as its factorization.

2996656632576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1698 counting only the distinct ones).

The product of its digits is 1322697600, while the sum is 72.

The spelling of 2996656632576 in words is "two trillion, nine hundred ninety-six billion, six hundred fifty-six million, six hundred thirty-two thousand, five hundred seventy-six".