2627640960000 has 880 divisors, whose sum is σ = 10063719878784. Its totient is φ = 596901888000.

The previous prime is 2627640959969. The next prime is 2627640960001. The reversal of 2627640960000 is 690467262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2627640960001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2593919494 + ... + 2593920506.

Almost surely, 2^{2627640960000} is an apocalyptic number.

2627640960000 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 2627640960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031859939392).

2627640960000 is an abundant number, since it is smaller than the sum of its proper divisors (7436078918784).

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

2627640960000 is a wasteful number, since it uses less digits than its factorization.

2627640960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 2627640960000 in words is "two trillion, six hundred twenty-seven billion, six hundred forty million, nine hundred sixty thousand".