8982368640 has 768 divisors, whose sum is σ = 37924024320. Its totient is φ = 1988665344.

The previous prime is 8982368581. The next prime is 8982368653. The reversal of 8982368640 is 468632898.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40279569 + ... + 40279791.

It is an arithmetic number, because the mean of its divisors is an integer number (49380240).

Almost surely, 2^8982368640 is an apocalyptic number.

8982368640 is a gapful number since it is divisible by the number (80) 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 8982368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18962012160).

8982368640 is an abundant number, since it is smaller than the sum of its proper divisors (28941655680).

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

8982368640 is a wasteful number, since it uses less digits than its factorization.

8982368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 8982368640 is about 94775.3588228502. The cubic root of 8982368640 is about 2078.7246126117.

The spelling of 8982368640 in words is "eight billion, nine hundred eighty-two million, three hundred sixty-eight thousand, six hundred forty".