2632640700672 has 288 divisors, whose sum is σ = 7859760168960. Its totient is φ = 869164369920.

The previous prime is 2632640700647. The next prime is 2632640700689. The reversal of 2632640700672 is 2760070462362.

2632640700672 is a `hidden beast` number, since 2 + 632 + 6 + 4 + 0 + 7 + 0 + 0 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599551597 + ... + 599555987.

It is an arithmetic number, because the mean of its divisors is an integer number (27290833920).

Almost surely, 2^{2632640700672} 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 2632640700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929880084480).

2632640700672 is an abundant number, since it is smaller than the sum of its proper divisors (5227119468288).

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

2632640700672 is a wasteful number, since it uses less digits than its factorization.

2632640700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 2632640700672 in words is "two trillion, six hundred thirty-two billion, six hundred forty million, seven hundred thousand, six hundred seventy-two".