8087534678664 has 480 divisors, whose sum is σ = 26707975905600. Its totient is φ = 2279627400960.

The previous prime is 8087534678591. The next prime is 8087534678693. The reversal of 8087534678664 is 4668764357808.

It is a happy number.

8087534678664 is a `hidden beast` number, since 8 + 0 + 8 + 7 + 534 + 6 + 7 + 86 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8087534678592 and 8087534678601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 719589957 + ... + 719601195.

It is an arithmetic number, because the mean of its divisors is an integer number (55641616470).

Almost surely, 2^{8087534678664} is an apocalyptic number.

8087534678664 is a gapful number since it is divisible by the number (84) 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 8087534678664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353987952800).

8087534678664 is an abundant number, since it is smaller than the sum of its proper divisors (18620441226936).

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

8087534678664 is a wasteful number, since it uses less digits than its factorization.

8087534678664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11575 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 8087534678664 in words is "eight trillion, eighty-seven billion, five hundred thirty-four million, six hundred seventy-eight thousand, six hundred sixty-four".