10632374432000 has 144 divisors (see below), whose sum is σ = 26504552186112. Its totient is φ = 4250063001600.

The previous prime is 10632374431919. The next prime is 10632374432011. The reversal of 10632374432000 is 23447323601.

It is a super-2 number, since 2×10632374432000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47343977 + ... + 47568023.

Almost surely, 2^{10632374432000} is an apocalyptic number.

10632374432000 is a gapful number since it is divisible by the number (10) 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 10632374432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13252276093056).

10632374432000 is an abundant number, since it is smaller than the sum of its proper divisors (15872177754112).

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

10632374432000 is an equidigital number, since it uses as much as digits as its factorization.

10632374432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225561 (or 225537 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 10632374432000 in words is "ten trillion, six hundred thirty-two billion, three hundred seventy-four million, four hundred thirty-two thousand".