8634016868400 has 1440 divisors, whose sum is σ = 40917713241600. Its totient is φ = 1630295654400.

The previous prime is 8634016868381. The next prime is 8634016868441. The reversal of 8634016868400 is 48686104368.

8634016868400 is a `hidden beast` number, since 86 + 3 + 40 + 1 + 68 + 68 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 136628011 + ... + 136691189.

It is an arithmetic number, because the mean of its divisors is an integer number (28415078640).

Almost surely, 2^{8634016868400} is an apocalyptic number.

8634016868400 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 8634016868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20458856620800).

8634016868400 is an abundant number, since it is smaller than the sum of its proper divisors (32283696373200).

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

8634016868400 is a wasteful number, since it uses less digits than its factorization.

8634016868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63267 (or 63253 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 8634016868400 in words is "eight trillion, six hundred thirty-four billion, sixteen million, eight hundred sixty-eight thousand, four hundred".