9926864640 has 1296 divisors, whose sum is σ = 46651078656. Its totient is φ = 1891123200.

The previous prime is 9926864639. The next prime is 9926864641. The reversal of 9926864640 is 464686299.

It is an interprime number because it is at equal distance from previous prime (9926864639) and next prime (9926864641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9926864641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 320221425 + ... + 320221455.

Almost surely, 2^9926864640 is an apocalyptic number.

9926864640 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 9926864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23325539328).

9926864640 is an abundant number, since it is smaller than the sum of its proper divisors (36724214016).

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

9926864640 is a wasteful number, since it uses less digits than its factorization.

9926864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 9926864640 is about 99633.6521462503. The cubic root of 9926864640 is about 2149.1696551992.

The spelling of 9926864640 in words is "nine billion, nine hundred twenty-six million, eight hundred sixty-four thousand, six hundred forty".