9742789056 has 448 divisors, whose sum is σ = 34935054336. Its totient is φ = 2314137600.

The previous prime is 9742789039. The next prime is 9742789081. The reversal of 9742789056 is 6509872479.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×9742789056² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9742788987 and 9742789005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31327141 + ... + 31327451.

It is an arithmetic number, because the mean of its divisors is an integer number (77980032).

Almost surely, 2^9742789056 is an apocalyptic number.

9742789056 is a gapful number since it is divisible by the number (96) 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 9742789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17467527168).

9742789056 is an abundant number, since it is smaller than the sum of its proper divisors (25192265280).

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

9742789056 is a wasteful number, since it uses less digits than its factorization.

9742789056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The square root of 9742789056 is about 98705.5675025477. The cubic root of 9742789056 is about 2135.8025459582.

The spelling of 9742789056 in words is "nine billion, seven hundred forty-two million, seven hundred eighty-nine thousand, fifty-six".