10824416640 has 256 divisors, whose sum is σ = 38866161600. Its totient is φ = 2846638080.

The previous prime is 10824416627. The next prime is 10824416671. The reversal of 10824416640 is 4661442801.

It is a happy number.

10824416640 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 4 + 4 + 1 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10824416595 and 10824416604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257150 + ... + 1265730.

Almost surely, 2^10824416640 is an apocalyptic number.

10824416640 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 10824416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19433080800).

10824416640 is an abundant number, since it is smaller than the sum of its proper divisors (28041744960).

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

10824416640 is an equidigital number, since it uses as much as digits as its factorization.

10824416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8682 (or 8664 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10824416640 in words is "ten billion, eight hundred twenty-four million, four hundred sixteen thousand, six hundred forty".