8016919680 has 512 divisors, whose sum is σ = 32134993920. Its totient is φ = 1651507200.

The previous prime is 8016919667. The next prime is 8016919697. The reversal of 8016919680 is 869196108.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 31194112 + ... + 31194368.

It is an arithmetic number, because the mean of its divisors is an integer number (62763660).

Almost surely, 2^8016919680 is an apocalyptic number.

8016919680 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 8016919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067496960).

8016919680 is an abundant number, since it is smaller than the sum of its proper divisors (24118074240).

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

8016919680 is a wasteful number, since it uses less digits than its factorization.

8016919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 8016919680 is about 89537.2530291163. The cubic root of 8016919680 is about 2001.4089804872.

The spelling of 8016919680 in words is "eight billion, sixteen million, nine hundred nineteen thousand, six hundred eighty".