9742897152 has 156 divisors (see below), whose sum is σ = 29368863264. Its totient is φ = 3106160640.

The previous prime is 9742897133. The next prime is 9742897169. The reversal of 9742897152 is 2517982479.

It is a super-2 number, since 2×9742897152² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 842127 + ... + 853617.

It is an arithmetic number, because the mean of its divisors is an integer number (188261944).

Almost surely, 2^9742897152 is an apocalyptic number.

9742897152 is a gapful number since it is divisible by the number (92) 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 9742897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14684431632).

9742897152 is an abundant number, since it is smaller than the sum of its proper divisors (19625966112).

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

9742897152 is a wasteful number, since it uses less digits than its factorization.

9742897152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11544 (or 11519 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 9742897152 is about 98706.1150689257. The cubic root of 9742897152 is about 2135.8104448208.

The spelling of 9742897152 in words is "nine billion, seven hundred forty-two million, eight hundred ninety-seven thousand, one hundred fifty-two".