8406278496 has 540 divisors, whose sum is σ = 31668899724. Its totient is φ = 2179457280.

The previous prime is 8406278477. The next prime is 8406278513. The reversal of 8406278496 is 6948726048.

8406278496 is a `hidden beast` number, since 8 + 4 + 0 + 627 + 8 + 4 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15367695 + ... + 15368241.

Almost surely, 2^8406278496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8406278496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15834449862).

8406278496 is an abundant number, since it is smaller than the sum of its proper divisors (23262621228).

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

8406278496 is a wasteful number, since it uses less digits than its factorization.

8406278496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 8406278496 is about 91685.7595049526. The cubic root of 8406278496 is about 2033.2990510270.

The spelling of 8406278496 in words is "eight billion, four hundred six million, two hundred seventy-eight thousand, four hundred ninety-six".