9826434072 has 384 divisors, whose sum is σ = 34456181760. Its totient is φ = 2458874880.

The previous prime is 9826434067. The next prime is 9826434073. The reversal of 9826434072 is 2704346289.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9826434073) 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, 29686947 + ... + 29687277.

It is an arithmetic number, because the mean of its divisors is an integer number (89729640).

Almost surely, 2^9826434072 is an apocalyptic number.

9826434072 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 9826434072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17228090880).

9826434072 is an abundant number, since it is smaller than the sum of its proper divisors (24629747688).

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

9826434072 is a wasteful number, since it uses less digits than its factorization.

9826434072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 9826434072 is about 99128.3716803620. The cubic root of 9826434072 is about 2141.8973239445.

The spelling of 9826434072 in words is "nine billion, eight hundred twenty-six million, four hundred thirty-four thousand, seventy-two".