8046397440 has 480 divisors, whose sum is σ = 29432403000. Its totient is φ = 2102132736.

The previous prime is 8046397433. The next prime is 8046397451. The reversal of 8046397440 is 447936408.

8046397440 is a `hidden beast` number, since 8 + 0 + 4 + 639 + 7 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6001910784 + 2044486656 = 77472^2 + 45216^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 73820106 + ... + 73820214.

Almost surely, 2^8046397440 is an apocalyptic number.

8046397440 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 8046397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716201500).

8046397440 is an abundant number, since it is smaller than the sum of its proper divisors (21386005560).

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

8046397440 is a wasteful number, since it uses less digits than its factorization.

8046397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 8046397440 is about 89701.7136960047. The cubic root of 8046397440 is about 2003.8590025938.

The spelling of 8046397440 in words is "eight billion, forty-six million, three hundred ninety-seven thousand, four hundred forty".