8019466560 has 448 divisors, whose sum is σ = 32751613440. Its totient is φ = 1831901184.

The previous prime is 8019466537. The next prime is 8019466579. The reversal of 8019466560 is 656649108.

8019466560 is a `hidden beast` number, since 80 + 1 + 9 + 4 + 6 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4898062 + ... + 4899698.

It is an arithmetic number, because the mean of its divisors is an integer number (73106280).

Almost surely, 2^8019466560 is an apocalyptic number.

8019466560 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 8019466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375806720).

8019466560 is an abundant number, since it is smaller than the sum of its proper divisors (24732146880).

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

8019466560 is an equidigital number, since it uses as much as digits as its factorization.

8019466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8019466560 is about 89551.4743597223. The cubic root of 8019466560 is about 2001.6208993211.

The spelling of 8019466560 in words is "eight billion, nineteen million, four hundred sixty-six thousand, five hundred sixty".