8412739920 has 320 divisors, whose sum is σ = 32285433600. Its totient is φ = 1999226880.

The previous prime is 8412739903. The next prime is 8412739927. The reversal of 8412739920 is 299372148.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8412739927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 809155 + ... + 819485.

It is an arithmetic number, because the mean of its divisors is an integer number (100891980).

Almost surely, 2^8412739920 is an apocalyptic number.

8412739920 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 8412739920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16142716800).

8412739920 is an abundant number, since it is smaller than the sum of its proper divisors (23872693680).

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

8412739920 is a wasteful number, since it uses less digits than its factorization.

8412739920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10395 (or 10383 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 8412739920 is about 91720.9895280246. The cubic root of 8412739920 is about 2033.8198777157.

The spelling of 8412739920 in words is "eight billion, four hundred twelve million, seven hundred thirty-nine thousand, nine hundred twenty".