10742736368 has 80 divisors (see below), whose sum is σ = 25640025600. Its totient is φ = 4246103808.

The previous prime is 10742736337. The next prime is 10742736377. The reversal of 10742736368 is 86363724701.

It is a super-4 number, since 4×10742736368⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2104283 + ... + 2109381.

It is an arithmetic number, because the mean of its divisors is an integer number (320500320).

Almost surely, 2^10742736368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742736368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12820012800).

10742736368 is an abundant number, since it is smaller than the sum of its proper divisors (14897289232).

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

10742736368 is a wasteful number, since it uses less digits than its factorization.

10742736368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6574 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 10742736368 in words is "ten billion, seven hundred forty-two million, seven hundred thirty-six thousand, three hundred sixty-eight".