9829764504 has 128 divisors (see below), whose sum is σ = 31386816000. Its totient is φ = 2792195712.

The previous prime is 9829764481. The next prime is 9829764509. The reversal of 9829764504 is 4054679289.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9829764509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242787 + ... + 280365.

It is an arithmetic number, because the mean of its divisors is an integer number (245209500).

Almost surely, 2^9829764504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9829764504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15693408000).

9829764504 is an abundant number, since it is smaller than the sum of its proper divisors (21557051496).

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

9829764504 is a wasteful number, since it uses less digits than its factorization.

9829764504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37774 (or 37764 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 9829764504 is about 99145.1688384260. The cubic root of 9829764504 is about 2142.1392780310.

The spelling of 9829764504 in words is "nine billion, eight hundred twenty-nine million, seven hundred sixty-four thousand, five hundred four".