10742036760 has 576 divisors, whose sum is σ = 44180791200. Its totient is φ = 2243469312.

The previous prime is 10742036737. The next prime is 10742036761. The reversal of 10742036760 is 6763024701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742036761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31875312 + ... + 31875648.

Almost surely, 2^10742036760 is an apocalyptic number.

10742036760 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 10742036760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22090395600).

10742036760 is an abundant number, since it is smaller than the sum of its proper divisors (33438754440).

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

10742036760 is a wasteful number, since it uses less digits than its factorization.

10742036760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 10742036760 in words is "ten billion, seven hundred forty-two million, thirty-six thousand, seven hundred sixty".