8719920000 has 640 divisors, whose sum is σ = 35178739200. Its totient is φ = 2108160000.

The previous prime is 8719919993. The next prime is 8719920043. The reversal of 8719920000 is 299178.

It is a happy number.

8719920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 23759817 + ... + 23760183.

It is an arithmetic number, because the mean of its divisors is an integer number (54966780).

Almost surely, 2^8719920000 is an apocalyptic number.

8719920000 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 8719920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17589369600).

8719920000 is an abundant number, since it is smaller than the sum of its proper divisors (26458819200).

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

8719920000 is a wasteful number, since it uses less digits than its factorization.

8719920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 8719920000 is about 93380.5118855107. The cubic root of 8719920000 is about 2058.2786386744.

The spelling of 8719920000 in words is "eight billion, seven hundred nineteen million, nine hundred twenty thousand".