8664115933440 has 864 divisors, whose sum is σ = 35698482892800. Its totient is φ = 1989829877760.

The previous prime is 8664115933439. The next prime is 8664115933453. The reversal of 8664115933440 is 443395114668.

It is a happy number.

8664115933440 is a `hidden beast` number, since 8 + 6 + 6 + 4 + 1 + 1 + 593 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64940721 + ... + 65073999.

Almost surely, 2^{8664115933440} is an apocalyptic number.

8664115933440 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 8664115933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849241446400).

8664115933440 is an abundant number, since it is smaller than the sum of its proper divisors (27034366959360).

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

8664115933440 is a wasteful number, since it uses less digits than its factorization.

8664115933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133345 (or 133319 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 8664115933440 in words is "eight trillion, six hundred sixty-four billion, one hundred fifteen million, nine hundred thirty-three thousand, four hundred forty".