8553027377664 has 720 divisors, whose sum is σ = 31358965397760. Its totient is φ = 2219171512320.

The previous prime is 8553027377659. The next prime is 8553027377669. The reversal of 8553027377664 is 4667737203558.

8553027377664 is a `hidden beast` number, since 8 + 5 + 530 + 2 + 7 + 37 + 7 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (8553027377659) and next prime (8553027377669).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8553027377669) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4527806032 + ... + 4527807920.

It is an arithmetic number, because the mean of its divisors is an integer number (43554118608).

Almost surely, 2^{8553027377664} is an apocalyptic number.

8553027377664 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 8553027377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15679482698880).

8553027377664 is an abundant number, since it is smaller than the sum of its proper divisors (22805938020096).

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

8553027377664 is a wasteful number, since it uses less digits than its factorization.

8553027377664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 8553027377664 in words is "eight trillion, five hundred fifty-three billion, twenty-seven million, three hundred seventy-seven thousand, six hundred sixty-four".