8187994563840 has 2016 divisors, whose sum is σ = 36442794667776. Its totient is φ = 1715626967040.

The previous prime is 8187994563823. The next prime is 8187994563841. The reversal of 8187994563840 is 483654997818.

8187994563840 is a `hidden beast` number, since 8 + 1 + 8 + 7 + 99 + 456 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8187994563841) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 17916836892 + ... + 17916837348.

Almost surely, 2^{8187994563840} is an apocalyptic number.

8187994563840 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 8187994563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18221397333888).

8187994563840 is an abundant number, since it is smaller than the sum of its proper divisors (28254800103936).

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

8187994563840 is a wasteful number, since it uses less digits than its factorization.

8187994563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 8187994563840 in words is "eight trillion, one hundred eighty-seven billion, nine hundred ninety-four million, five hundred sixty-three thousand, eight hundred forty".