8887434237864 has 672 divisors, whose sum is σ = 31372909585920. Its totient is φ = 2338423540992.

The previous prime is 8887434237859. The next prime is 8887434237943. The reversal of 8887434237864 is 4687324347888.

8887434237864 is a `hidden beast` number, since 8 + 8 + 8 + 74 + 3 + 423 + 78 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8887434237792 and 8887434237801.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1720035009 + ... + 1720040175.

It is an arithmetic number, because the mean of its divisors is an integer number (46685877360).

Almost surely, 2^{8887434237864} is an apocalyptic number.

8887434237864 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 8887434237864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15686454792960).

8887434237864 is an abundant number, since it is smaller than the sum of its proper divisors (22485475348056).

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

8887434237864 is a wasteful number, since it uses less digits than its factorization.

8887434237864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5681 (or 5655 counting only the distinct ones).

The product of its digits is 1387266048, while the sum is 72.

The spelling of 8887434237864 in words is "eight trillion, eight hundred eighty-seven billion, four hundred thirty-four million, two hundred thirty-seven thousand, eight hundred sixty-four".