9242069760 has 1152 divisors, whose sum is σ = 42949509120. Its totient is φ = 1824768000.

The previous prime is 9242069743. The next prime is 9242069761. The reversal of 9242069760 is 679602429.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9242069761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61205685 + ... + 61205835.

It is an arithmetic number, because the mean of its divisors is an integer number (37282560).

Almost surely, 2^9242069760 is an apocalyptic number.

9242069760 is a gapful number since it is divisible by the number (90) 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 9242069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21474754560).

9242069760 is an abundant number, since it is smaller than the sum of its proper divisors (33707439360).

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

9242069760 is a wasteful number, since it uses less digits than its factorization.

9242069760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 9242069760 is about 96135.6841136526. The cubic root of 9242069760 is about 2098.5681668189.

The spelling of 9242069760 in words is "nine billion, two hundred forty-two million, sixty-nine thousand, seven hundred sixty".