2643887941632 has 2160 divisors, whose sum is σ = 10459366297380. Its totient is φ = 660834091008.

The previous prime is 2643887941631. The next prime is 2643887941657. The reversal of 2643887941632 is 2361497883462.

2643887941632 is a `hidden beast` number, since 2 + 6 + 4 + 388 + 7 + 94 + 163 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2466357175296 + 177530766336 = 1570464^2 + 421344^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2643887941632.

It is not an unprimeable number, because it can be changed into a prime (2643887941631) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 49884678118 + ... + 49884678170.

Almost surely, 2^{2643887941632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2643887941632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229683148690).

2643887941632 is an abundant number, since it is smaller than the sum of its proper divisors (7815478355748).

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

2643887941632 is a wasteful number, since it uses less digits than its factorization.

2643887941632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 101 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 2643887941632 in words is "two trillion, six hundred forty-three billion, eight hundred eighty-seven million, nine hundred forty-one thousand, six hundred thirty-two".