9249264640 has 352 divisors, whose sum is σ = 28651449600. Its totient is φ = 2780037120.

The previous prime is 9249264539. The next prime is 9249264641. The reversal of 9249264640 is 464629429.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9249264641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11432556 + ... + 11433364.

Almost surely, 2^9249264640 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 9249264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325724800).

9249264640 is an abundant number, since it is smaller than the sum of its proper divisors (19402184960).

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

9249264640 is a wasteful number, since it uses less digits than its factorization.

9249264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 9249264640 is about 96173.0972777731. The cubic root of 9249264640 is about 2099.1125986067.

It can be divided in two parts, 924926 and 4640, that added together give a triangular number (929566 = T₁₃₆₃).

The spelling of 9249264640 in words is "nine billion, two hundred forty-nine million, two hundred sixty-four thousand, six hundred forty".