10742490640 has 80 divisors (see below), whose sum is σ = 28806370560. Its totient is φ = 3649328640.

The previous prime is 10742490613. The next prime is 10742490641. The reversal of 10742490640 is 4609424701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10742490640² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10742490640.

It is not an unprimeable number, because it can be changed into a prime (10742490641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26956 + ... + 149035.

It is an arithmetic number, because the mean of its divisors is an integer number (360079632).

Almost surely, 2^10742490640 is an apocalyptic number.

10742490640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10742490640 is an abundant number, since it is smaller than the sum of its proper divisors (18063879920).

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

10742490640 is a wasteful number, since it uses less digits than its factorization.

10742490640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176120 (or 176114 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 10742490640 in words is "ten billion, seven hundred forty-two million, four hundred ninety thousand, six hundred forty".