2632775637856 has 288 divisors, whose sum is σ = 6788230529472. Its totient is φ = 978610913280.

The previous prime is 2632775637829. The next prime is 2632775637871. The reversal of 2632775637856 is 6587365772362.

It is a junction number, because it is equal to n+sod(n) for n = 2632775637791 and 2632775637800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569739226 + ... + 569743846.

It is an arithmetic number, because the mean of its divisors is an integer number (23570244894).

Almost surely, 2^{2632775637856} is an apocalyptic number.

2632775637856 is a gapful number since it is divisible by the number (26) 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 2632775637856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394115264736).

2632775637856 is an abundant number, since it is smaller than the sum of its proper divisors (4155454891616).

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

2632775637856 is a wasteful number, since it uses less digits than its factorization.

2632775637856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362 (or 5337 counting only the distinct ones).

The product of its digits is 533433600, while the sum is 67.

The spelling of 2632775637856 in words is "two trillion, six hundred thirty-two billion, seven hundred seventy-five million, six hundred thirty-seven thousand, eight hundred fifty-six".