8013821760 has 672 divisors, whose sum is σ = 33949843200. Its totient is φ = 1693384704.

The previous prime is 8013821707. The next prime is 8013821797. The reversal of 8013821760 is 671283108.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 22962066 + ... + 22962414.

It is an arithmetic number, because the mean of its divisors is an integer number (50520600).

Almost surely, 2^8013821760 is an apocalyptic number.

8013821760 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 8013821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974921600).

8013821760 is an abundant number, since it is smaller than the sum of its proper divisors (25936021440).

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

8013821760 is a wasteful number, since it uses less digits than its factorization.

8013821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8013821760 is about 89519.9517426143. The cubic root of 8013821760 is about 2001.1511506323.

The spelling of 8013821760 in words is "eight billion, thirteen million, eight hundred twenty-one thousand, seven hundred sixty".