8019968000 has 272 divisors, whose sum is σ = 22082842080. Its totient is φ = 2883584000.

The previous prime is 8019967987. The next prime is 8019968063. The reversal of 8019968000 is 8699108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90111956 + ... + 90112044.

Almost surely, 2^8019968000 is an apocalyptic number.

8019968000 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 8019968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041421040).

8019968000 is an abundant number, since it is smaller than the sum of its proper divisors (14062874080).

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

8019968000 is an frugal number, since it uses more digits than its factorization.

8019968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 8019968000 is about 89554.2740465244. The cubic root of 8019968000 is about 2001.6626174686.

It can be divided in two parts, 8019 and 968000, that multiplied together give a cube (7762392000 = 1980³).

The spelling of 8019968000 in words is "eight billion, nineteen million, nine hundred sixty-eight thousand".