2632128168864 has 144 divisors (see below), whose sum is σ = 7225211714112. Its totient is φ = 838949489664.

The previous prime is 2632128168847. The next prime is 2632128168881. The reversal of 2632128168864 is 4688618212362.

It is an interprime number because it is at equal distance from previous prime (2632128168847) and next prime (2632128168881).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196171884 + ... + 196185300.

It is an arithmetic number, because the mean of its divisors is an integer number (50175081348).

Almost surely, 2^{2632128168864} is an apocalyptic number.

2632128168864 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 2632128168864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612605857056).

2632128168864 is an abundant number, since it is smaller than the sum of its proper divisors (4593083545248).

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

2632128168864 is a wasteful number, since it uses less digits than its factorization.

2632128168864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17339 (or 17308 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 57.

The spelling of 2632128168864 in words is "two trillion, six hundred thirty-two billion, one hundred twenty-eight million, one hundred sixty-eight thousand, eight hundred sixty-four".