10742376500 has 96 divisors (see below), whose sum is σ = 25513566624. Its totient is φ = 3934771200.

The previous prime is 10742376439. The next prime is 10742376511. The reversal of 10742376500 is 567324701.

It can be written as a sum of positive squares in 16 ways, for example, as 2306688784 + 8435687716 = 48028^2 + 91846^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297422 + ... + 331578.

It is an arithmetic number, because the mean of its divisors is an integer number (265766319).

Almost surely, 2^10742376500 is an apocalyptic number.

10742376500 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 10742376500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12756783312).

10742376500 is an abundant number, since it is smaller than the sum of its proper divisors (14771190124).

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

10742376500 is a wasteful number, since it uses less digits than its factorization.

10742376500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34230 (or 34218 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 10742376500 in words is "ten billion, seven hundred forty-two million, three hundred seventy-six thousand, five hundred".