10726315740 has 144 divisors (see below), whose sum is σ = 37233443520. Its totient is φ = 2448506880.

The previous prime is 10726315723. The next prime is 10726315751. The reversal of 10726315740 is 4751362701.

It is a happy number.

10726315740 is a `hidden beast` number, since 10 + 7 + 2 + 631 + 5 + 7 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10726315695 and 10726315704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029276 + ... + 1039644.

It is an arithmetic number, because the mean of its divisors is an integer number (258565580).

Almost surely, 2^10726315740 is an apocalyptic number.

10726315740 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 10726315740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18616721760).

10726315740 is an abundant number, since it is smaller than the sum of its proper divisors (26507127780).

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

10726315740 is a wasteful number, since it uses less digits than its factorization.

10726315740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10726315740 in words is "ten billion, seven hundred twenty-six million, three hundred fifteen thousand, seven hundred forty".