2632670622600 has 768 divisors, whose sum is σ = 9107664572160. Its totient is φ = 626196480000.

The previous prime is 2632670622587. The next prime is 2632670622629. The reversal of 2632670622600 is 62260762362.

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, 5053110340 + ... + 5053110860.

It is an arithmetic number, because the mean of its divisors is an integer number (11858938245).

Almost surely, 2^{2632670622600} is an apocalyptic number.

2632670622600 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 2632670622600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553832286080).

2632670622600 is an abundant number, since it is smaller than the sum of its proper divisors (6474993949560).

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

2632670622600 is a wasteful number, since it uses less digits than its factorization.

2632670622600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 2632670622600 in words is "two trillion, six hundred thirty-two billion, six hundred seventy million, six hundred twenty-two thousand, six hundred".