8623480320 has 800 divisors, whose sum is σ = 38097436608. Its totient is φ = 1815478272.

The previous prime is 8623480319. The next prime is 8623480337. The reversal of 8623480320 is 230843268.

8623480320 is a `hidden beast` number, since 8 + 623 + 4 + 8 + 0 + 3 + 20 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18869532 + ... + 18869988.

Almost surely, 2^8623480320 is an apocalyptic number.

8623480320 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 8623480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048718304).

8623480320 is an abundant number, since it is smaller than the sum of its proper divisors (29473956288).

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

8623480320 is a wasteful number, since it uses less digits than its factorization.

8623480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8623480320 is about 92862.6960625202. The cubic root of 8623480320 is about 2050.6625120236.

The spelling of 8623480320 in words is "eight billion, six hundred twenty-three million, four hundred eighty thousand, three hundred twenty".