9014876640 has 768 divisors, whose sum is σ = 40358062080. Its totient is φ = 1824768000.

The previous prime is 9014876639. The next prime is 9014876641. The reversal of 9014876640 is 466784109.

It is an interprime number because it is at equal distance from previous prime (9014876639) and next prime (9014876641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9014876641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13637910 + ... + 13638570.

It is an arithmetic number, because the mean of its divisors is an integer number (52549560).

Almost surely, 2^9014876640 is an apocalyptic number.

9014876640 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 9014876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20179031040).

9014876640 is an abundant number, since it is smaller than the sum of its proper divisors (31343185440).

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

9014876640 is a wasteful number, since it uses less digits than its factorization.

9014876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9014876640 is about 94946.7042082030. The cubic root of 9014876640 is about 2081.2292905983.

The spelling of 9014876640 in words is "nine billion, fourteen million, eight hundred seventy-six thousand, six hundred forty".