10632642684240 has 40 divisors (see below), whose sum is σ = 32961192321888. Its totient is φ = 2835371382400.

The previous prime is 10632642684239. The next prime is 10632642684299. The reversal of 10632642684240 is 4248624623601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10632642684240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10632642684240.

It is a congruent number.

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, 22151338686 + ... + 22151339165.

Almost surely, 2^{10632642684240} is an apocalyptic number.

10632642684240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10632642684240 is an abundant number, since it is smaller than the sum of its proper divisors (22328549637648).

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

10632642684240 is a wasteful number, since it uses less digits than its factorization.

10632642684240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44302677867 (or 44302677861 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 10632642684240 in words is "ten trillion, six hundred thirty-two billion, six hundred forty-two million, six hundred eighty-four thousand, two hundred forty".