2632000206464 has 64 divisors (see below), whose sum is σ = 5528595105600. Its totient is φ = 1244661811200.

The previous prime is 2632000206427. The next prime is 2632000206491. The reversal of 2632000206464 is 4646020002362.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561269 + ... + 2361995.

It is an arithmetic number, because the mean of its divisors is an integer number (86384298525).

Almost surely, 2^{2632000206464} 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 2632000206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764297552800).

2632000206464 is an abundant number, since it is smaller than the sum of its proper divisors (2896594899136).

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

2632000206464 is a wasteful number, since it uses less digits than its factorization.

2632000206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801361 (or 1801349 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 2632000206464 in words is "two trillion, six hundred thirty-two billion, two hundred six thousand, four hundred sixty-four".