8469457920 has 1188 divisors, whose sum is σ = 38733694272. Its totient is φ = 1703116800.

The previous prime is 8469457901. The next prime is 8469457933. The reversal of 8469457920 is 297549648.

8469457920 is a `hidden beast` number, since 8 + 4 + 69 + 4 + 579 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 273208305 + ... + 273208335.

Almost surely, 2^8469457920 is an apocalyptic number.

8469457920 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 8469457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19366847136).

8469457920 is an abundant number, since it is smaller than the sum of its proper divisors (30264236352).

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

8469457920 is a wasteful number, since it uses less digits than its factorization.

8469457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 8469457920 is about 92029.6578283327. The cubic root of 8469457920 is about 2038.3802598418.

The spelling of 8469457920 in words is "eight billion, four hundred sixty-nine million, four hundred fifty-seven thousand, nine hundred twenty".