8434789920 has 72 divisors (see below), whose sum is σ = 28783725516. Its totient is φ = 2249276928.

The previous prime is 8434789901. The next prime is 8434789933. The reversal of 8434789920 is 299874348.

8434789920 is a `hidden beast` number, since 84 + 3 + 478 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8188802064 + 245987856 = 90492^2 + 15684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×8434789920² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2927307 + ... + 2930186.

Almost surely, 2^8434789920 is an apocalyptic number.

8434789920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8434789920 is an abundant number, since it is smaller than the sum of its proper divisors (20348935596).

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

8434789920 is a wasteful number, since it uses less digits than its factorization.

8434789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857514 (or 5857503 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 8434789920 is about 91841.1123626015. The cubic root of 8434789920 is about 2035.5952249903.

The spelling of 8434789920 in words is "eight billion, four hundred thirty-four million, seven hundred eighty-nine thousand, nine hundred twenty".