10632245782368 has 96 divisors (see below), whose sum is σ = 31898808184320. Its totient is φ = 3037587287040.

The previous prime is 10632245782363. The next prime is 10632245782393. The reversal of 10632245782368 is 86328754223601.

10632245782368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10632245782368² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10632245782363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10004973 + ... + 11016531.

It is an arithmetic number, because the mean of its divisors is an integer number (332279251920).

Almost surely, 2^{10632245782368} is an apocalyptic number.

It is an amenable number.

10632245782368 is an abundant number, since it is smaller than the sum of its proper divisors (21266562401952).

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

10632245782368 is a wasteful number, since it uses less digits than its factorization.

10632245782368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027220 (or 1027212 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 10632245782368 in words is "ten trillion, six hundred thirty-two billion, two hundred forty-five million, seven hundred eighty-two thousand, three hundred sixty-eight".