8464633920 has 224 divisors, whose sum is σ = 29930140800. Its totient is φ = 2252040192.

The previous prime is 8464633907. The next prime is 8464633973. The reversal of 8464633920 is 293364648.

8464633920 is a `hidden beast` number, since 8 + 4 + 6 + 4 + 633 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×8464633920² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5070846 + ... + 5072514.

It is an arithmetic number, because the mean of its divisors is an integer number (133616700).

Almost surely, 2^8464633920 is an apocalyptic number.

8464633920 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 8464633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965070400).

8464633920 is an abundant number, since it is smaller than the sum of its proper divisors (21465506880).

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

8464633920 is a wasteful number, since it uses less digits than its factorization.

8464633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 8464633920 is about 92003.4451528854. The cubic root of 8464633920 is about 2037.9931821813.

The spelling of 8464633920 in words is "eight billion, four hundred sixty-four million, six hundred thirty-three thousand, nine hundred twenty".