8682261073920 has 624 divisors, whose sum is σ = 35668090872960. Its totient is φ = 1984508854272.

The previous prime is 8682261073919. The next prime is 8682261073943. The reversal of 8682261073920 is 293701622868.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34711866 + ... + 34961094.

It is an arithmetic number, because the mean of its divisors is an integer number (57160402040).

Almost surely, 2^{8682261073920} is an apocalyptic number.

8682261073920 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 8682261073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17834045436480).

8682261073920 is an abundant number, since it is smaller than the sum of its proper divisors (26985829799040).

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

8682261073920 is an equidigital number, since it uses as much as digits as its factorization.

8682261073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249280 (or 249246 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 8682261073920 in words is "eight trillion, six hundred eighty-two billion, two hundred sixty-one million, seventy-three thousand, nine hundred twenty".