10742824960 has 512 divisors, whose sum is σ = 33973344000. Its totient is φ = 3170893824.

The previous prime is 10742824951. The next prime is 10742824991. The reversal of 10742824960 is 6942824701.

It is a tau number, because it is divible by the number of its divisors (512).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 370442226 + ... + 370442254.

Almost surely, 2^10742824960 is an apocalyptic number.

10742824960 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 10742824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16986672000).

10742824960 is an abundant number, since it is smaller than the sum of its proper divisors (23230519040).

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

10742824960 is an equidigital number, since it uses as much as digits as its factorization.

10742824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 10742824960 in words is "ten billion, seven hundred forty-two million, eight hundred twenty-four thousand, nine hundred sixty".