8187963840 has 448 divisors, whose sum is σ = 33913267200. Its totient is φ = 1820454912.

The previous prime is 8187963787. The next prime is 8187963869. The reversal of 8187963840 is 483697818.

It is a tau number, because it is divible by the number of its divisors (448).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2235931 + ... + 2239589.

Almost surely, 2^8187963840 is an apocalyptic number.

8187963840 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 8187963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16956633600).

8187963840 is an abundant number, since it is smaller than the sum of its proper divisors (25725303360).

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

8187963840 is a wasteful number, since it uses less digits than its factorization.

8187963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 8187963840 is about 90487.3684002358. The cubic root of 8187963840 is about 2015.5425549404.

The spelling of 8187963840 in words is "eight billion, one hundred eighty-seven million, nine hundred sixty-three thousand, eight hundred forty".