8411953680 has 400 divisors, whose sum is σ = 31998670704. Its totient is φ = 2035445760.

The previous prime is 8411953679. The next prime is 8411953681. The reversal of 8411953680 is 863591148.

It is an interprime number because it is at equal distance from previous prime (8411953679) and next prime (8411953681).

It can be written as a sum of positive squares in 8 ways, for example, as 4943214864 + 3468738816 = 70308^2 + 58896^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8411953681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5137822 + ... + 5139458.

Almost surely, 2^8411953680 is an apocalyptic number.

8411953680 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 8411953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999335352).

8411953680 is an abundant number, since it is smaller than the sum of its proper divisors (23586717024).

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

8411953680 is a wasteful number, since it uses less digits than its factorization.

8411953680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8411953680 is about 91716.7033860245. The cubic root of 8411953680 is about 2033.7565166556.

The spelling of 8411953680 in words is "eight billion, four hundred eleven million, nine hundred fifty-three thousand, six hundred eighty".