10742744610 has 256 divisors, whose sum is σ = 31906828800. Its totient is φ = 2555255808.

The previous prime is 10742744599. The next prime is 10742744627. The reversal of 10742744610 is 1644724701.

It is a happy number.

10742744610 is a `hidden beast` number, since 10 + 7 + 4 + 27 + 4 + 4 + 610 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16451044 + ... + 16451696.

It is an arithmetic number, because the mean of its divisors is an integer number (124636050).

Almost surely, 2^10742744610 is an apocalyptic number.

10742744610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742744610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15953414400).

10742744610 is an abundant number, since it is smaller than the sum of its proper divisors (21164084190).

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

10742744610 is a wasteful number, since it uses less digits than its factorization.

10742744610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10742744610 in words is "ten billion, seven hundred forty-two million, seven hundred forty-four thousand, six hundred ten".