8190447759648 has 1056 divisors, whose sum is σ = 30913569896832. Its totient is φ = 2073989836800.

The previous prime is 8190447759623. The next prime is 8190447759691. The reversal of 8190447759648 is 8469577440918.

8190447759648 is a `hidden beast` number, since 8 + 1 + 90 + 4 + 477 + 5 + 9 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 5965365490 + ... + 5965366862.

Almost surely, 2^{8190447759648} is an apocalyptic number.

8190447759648 is a gapful number since it is divisible by the number (88) 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 8190447759648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456784948416).

8190447759648 is an abundant number, since it is smaller than the sum of its proper divisors (22723122137184).

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

8190447759648 is a wasteful number, since it uses less digits than its factorization.

8190447759648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 8190447759648 in words is "eight trillion, one hundred ninety billion, four hundred forty-seven million, seven hundred fifty-nine thousand, six hundred forty-eight".