9791828640 has 1152 divisors, whose sum is σ = 42779197440. Its totient is φ = 2068070400.

The previous prime is 9791828621. The next prime is 9791828653. The reversal of 9791828640 is 468281979.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 315865425 + ... + 315865455.

It is an arithmetic number, because the mean of its divisors is an integer number (37134720).

Almost surely, 2^9791828640 is an apocalyptic number.

9791828640 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 9791828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21389598720).

9791828640 is an abundant number, since it is smaller than the sum of its proper divisors (32987368800).

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

9791828640 is a wasteful number, since it uses less digits than its factorization.

9791828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 9791828640 is about 98953.6691588543. The cubic root of 9791828640 is about 2139.3800166334.

The spelling of 9791828640 in words is "nine billion, seven hundred ninety-one million, eight hundred twenty-eight thousand, six hundred forty".