9724882464 has 384 divisors, whose sum is σ = 31901506560. Its totient is φ = 2857420800.

The previous prime is 9724882439. The next prime is 9724882477. The reversal of 9724882464 is 4642884279.

It is a super-2 number, since 2×9724882464² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9724882464.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74235679 + ... + 74235809.

It is an arithmetic number, because the mean of its divisors is an integer number (83076840).

Almost surely, 2^9724882464 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 9724882464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15950753280).

9724882464 is an abundant number, since it is smaller than the sum of its proper divisors (22176624096).

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

9724882464 is a wasteful number, since it uses less digits than its factorization.

9724882464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 9724882464 is about 98614.8186836035. The cubic root of 9724882464 is about 2134.4932562855.

The spelling of 9724882464 in words is "nine billion, seven hundred twenty-four million, eight hundred eighty-two thousand, four hundred sixty-four".