2632640076000 has 2304 divisors, whose sum is σ = 11594712729600. Its totient is φ = 577082880000.

The previous prime is 2632640075971. The next prime is 2632640076007. The reversal of 2632640076000 is 6700462362.

It is a happy number.

2632640076000 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 6 + 40 + 0 + 7 + 600 + 0 = 666.

It is a super-2 number, since 2×2632640076000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632640076007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5710715770 + ... + 5710716230.

It is an arithmetic number, because the mean of its divisors is an integer number (5032427400).

Almost surely, 2^{2632640076000} is an apocalyptic number.

2632640076000 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 2632640076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797356364800).

2632640076000 is an abundant number, since it is smaller than the sum of its proper divisors (8962072653600).

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

2632640076000 is a wasteful number, since it uses less digits than its factorization.

2632640076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 2632640076000 in words is "two trillion, six hundred thirty-two billion, six hundred forty million, seventy-six thousand".