2632099328640 has 768 divisors, whose sum is σ = 9575459712000. Its totient is φ = 690813370368.

The previous prime is 2632099328561. The next prime is 2632099328671. The reversal of 2632099328640 is 468239902362.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5494987921 + ... + 5494988399.

It is an arithmetic number, because the mean of its divisors is an integer number (12468046500).

Almost surely, 2^{2632099328640} is an apocalyptic number.

2632099328640 is a gapful number since it is divisible by the number (20) 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 2632099328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787729856000).

2632099328640 is an abundant number, since it is smaller than the sum of its proper divisors (6943360383360).

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

2632099328640 is an equidigital number, since it uses as much as digits as its factorization.

2632099328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2632099328640 in words is "two trillion, six hundred thirty-two billion, ninety-nine million, three hundred twenty-eight thousand, six hundred forty".