8084551680 has 576 divisors, whose sum is σ = 30704637600. Its totient is φ = 2042413056.

The previous prime is 8084551669. The next prime is 8084551687. The reversal of 8084551680 is 861554808.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8084551687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425502711 + ... + 425502729.

Almost surely, 2^8084551680 is an apocalyptic number.

8084551680 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 8084551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15352318800).

8084551680 is an abundant number, since it is smaller than the sum of its proper divisors (22620085920).

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

8084551680 is an frugal number, since it uses more digits than its factorization.

8084551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 8084551680 is about 89914.1350400481. The cubic root of 8084551680 is about 2007.0212951952.

The spelling of 8084551680 in words is "eight billion, eighty-four million, five hundred fifty-one thousand, six hundred eighty".