2632136725600 has 144 divisors (see below), whose sum is σ = 6789960414720. Its totient is φ = 994330022400.

The previous prime is 2632136725571. The next prime is 2632136725601. The reversal of 2632136725600 is 65276312362.

It is a super-4 number, since 4×2632136725600⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632136725601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548215 + ... + 2358985.

It is an arithmetic number, because the mean of its divisors is an integer number (47152502880).

Almost surely, 2^{2632136725600} is an apocalyptic number.

2632136725600 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 2632136725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394980207360).

2632136725600 is an abundant number, since it is smaller than the sum of its proper divisors (4157823689120).

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

2632136725600 is a wasteful number, since it uses less digits than its factorization.

2632136725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810893 (or 1810880 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 2632136725600 in words is "two trillion, six hundred thirty-two billion, one hundred thirty-six million, seven hundred twenty-five thousand, six hundred".