10742760000 has 1120 divisors, whose sum is σ = 47609760000. Its totient is φ = 2370816000.

The previous prime is 10742759957. The next prime is 10742760031. The reversal of 10742760000 is 6724701.

10742760000 is a `hidden beast` number, since 10 + 7 + 42 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 370439986 + ... + 370440014.

Almost surely, 2^10742760000 is an apocalyptic number.

10742760000 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 10742760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23804880000).

10742760000 is an abundant number, since it is smaller than the sum of its proper divisors (36867000000).

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

10742760000 is an frugal number, since it uses more digits than its factorization.

10742760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 10742760000 in words is "ten billion, seven hundred forty-two million, seven hundred sixty thousand".