10742078736 has 75 divisors (see below), whose sum is σ = 31101495271. Its totient is φ = 3579449184.

The previous prime is 10742078707. The next prime is 10742078771. The reversal of 10742078736 is 63787024701.

The square root of 10742078736 is 103644.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10742078691 and 10742078700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3729745 + ... + 3732623.

Almost surely, 2^10742078736 is an apocalyptic number.

10742078736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10742078736 is the 103644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742078736

10742078736 is an abundant number, since it is smaller than the sum of its proper divisors (20359416535).

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

10742078736 is an frugal number, since it uses more digits than its factorization.

10742078736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10742078736 in words is "ten billion, seven hundred forty-two million, seventy-eight thousand, seven hundred thirty-six".