8164053504 has 320 divisors, whose sum is σ = 25608718080. Its totient is φ = 2594820096.

The previous prime is 8164053503. The next prime is 8164053511. The reversal of 8164053504 is 4053504618.

It is a happy number.

8164053504 is a `hidden beast` number, since 8 + 1 + 640 + 5 + 3 + 5 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8164053503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25753954 + ... + 25754270.

It is an arithmetic number, because the mean of its divisors is an integer number (80027244).

Almost surely, 2^8164053504 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 8164053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804359040).

8164053504 is an abundant number, since it is smaller than the sum of its proper divisors (17444664576).

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

8164053504 is an frugal number, since it uses more digits than its factorization.

8164053504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 8164053504 is about 90355.1520611858. The cubic root of 8164053504 is about 2013.5787257970.

The spelling of 8164053504 in words is "eight billion, one hundred sixty-four million, fifty-three thousand, five hundred four".