8820535680 has 768 divisors, whose sum is σ = 37119513600. Its totient is φ = 1902182400.

The previous prime is 8820535643. The next prime is 8820535723. The reversal of 8820535680 is 865350288.

It is a happy number.

8820535680 is a `hidden beast` number, since 8 + 82 + 0 + 5 + 3 + 568 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 20465065 + ... + 20465495.

It is an arithmetic number, because the mean of its divisors is an integer number (48332700).

Almost surely, 2^8820535680 is an apocalyptic number.

8820535680 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 8820535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18559756800).

8820535680 is an abundant number, since it is smaller than the sum of its proper divisors (28298977920).

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

8820535680 is a wasteful number, since it uses less digits than its factorization.

8820535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8820535680 is about 93917.7069566756. The cubic root of 8820535680 is about 2066.1649358977.

The spelling of 8820535680 in words is "eight billion, eight hundred twenty million, five hundred thirty-five thousand, six hundred eighty".