8929463040 has 432 divisors, whose sum is σ = 31967391456. Its totient is φ = 2300313600.

The previous prime is 8929463009. The next prime is 8929463047. The reversal of 8929463040 is 403649298.

8929463040 is a `hidden beast` number, since 8 + 9 + 2 + 9 + 4 + 630 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8929463047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68163775 + ... + 68163905.

Almost surely, 2^8929463040 is an apocalyptic number.

8929463040 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 8929463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983695728).

8929463040 is an abundant number, since it is smaller than the sum of its proper divisors (23037928416).

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

8929463040 is a wasteful number, since it uses less digits than its factorization.

8929463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 8929463040 is about 94495.8360987404. The cubic root of 8929463040 is about 2074.6353868470.

It can be divided in two parts, 8929 and 463040, that added together give a square (471969 = 687²).

The spelling of 8929463040 in words is "eight billion, nine hundred twenty-nine million, four hundred sixty-three thousand, forty".