9129782340 has 288 divisors, whose sum is σ = 35277016320. Its totient is φ = 1860599808.

The previous prime is 9129782309. The next prime is 9129782341. The reversal of 9129782340 is 432879219.

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

It is not an unprimeable number, because it can be changed into a prime (9129782341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395764 + ... + 418196.

It is an arithmetic number, because the mean of its divisors is an integer number (122489640).

Almost surely, 2^9129782340 is an apocalyptic number.

9129782340 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 9129782340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17638508160).

9129782340 is an abundant number, since it is smaller than the sum of its proper divisors (26147233980).

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

9129782340 is a wasteful number, since it uses less digits than its factorization.

9129782340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22491 (or 22486 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9129782340 is about 95549.8945054363. The cubic root of 9129782340 is about 2090.0345941787.

The spelling of 9129782340 in words is "nine billion, one hundred twenty-nine million, seven hundred eighty-two thousand, three hundred forty".