8726984640 has 504 divisors, whose sum is σ = 33517149120. Its totient is φ = 2082263040.

The previous prime is 8726984621. The next prime is 8726984653. The reversal of 8726984640 is 464896278.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 27529762 + ... + 27530078.

It is an arithmetic number, because the mean of its divisors is an integer number (66502280).

Almost surely, 2^8726984640 is an apocalyptic number.

8726984640 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 8726984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758574560).

8726984640 is an abundant number, since it is smaller than the sum of its proper divisors (24790164480).

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

8726984640 is a wasteful number, since it uses less digits than its factorization.

8726984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 8726984640 is about 93418.3313916493. The cubic root of 8726984640 is about 2058.8343422613.

The spelling of 8726984640 in words is "eight billion, seven hundred twenty-six million, nine hundred eighty-four thousand, six hundred forty".