2632433744664 has 192 divisors, whose sum is σ = 7635176640000. Its totient is φ = 816859074816.

The previous prime is 2632433744657. The next prime is 2632433744669. The reversal of 2632433744664 is 4664473342362.

2632433744664 is a `hidden beast` number, since 2 + 63 + 24 + 33 + 74 + 466 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2632433744664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632433744669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243986982 + ... + 243997770.

It is an arithmetic number, because the mean of its divisors is an integer number (39766545000).

Almost surely, 2^{2632433744664} is an apocalyptic number.

2632433744664 is a gapful number since it is divisible by the number (24) 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 2632433744664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817588320000).

2632433744664 is an abundant number, since it is smaller than the sum of its proper divisors (5002742895336).

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

2632433744664 is a wasteful number, since it uses less digits than its factorization.

2632433744664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13902 (or 13895 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 54.

The spelling of 2632433744664 in words is "two trillion, six hundred thirty-two billion, four hundred thirty-three million, seven hundred forty-four thousand, six hundred sixty-four".