8627503601664 has 336 divisors, whose sum is σ = 26038617696000. Its totient is φ = 2856459976704.

The previous prime is 8627503601659. The next prime is 8627503601677. The reversal of 8627503601664 is 4661063057268.

8627503601664 is a `hidden beast` number, since 8 + 6 + 2 + 7 + 503 + 60 + 16 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8627503601664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 222436417 + ... + 222475199.

It is an arithmetic number, because the mean of its divisors is an integer number (77495886000).

Almost surely, 2^{8627503601664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8627503601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13019308848000).

8627503601664 is an abundant number, since it is smaller than the sum of its proper divisors (17411114094336).

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

8627503601664 is an equidigital number, since it uses as much as digits as its factorization.

8627503601664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38972 (or 38937 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 8627503601664 in words is "eight trillion, six hundred twenty-seven billion, five hundred three million, six hundred one thousand, six hundred sixty-four".