8048456640 has 336 divisors, whose sum is σ = 31927117248. Its totient is φ = 1822851072.

The previous prime is 8048456629. The next prime is 8048456653. The reversal of 8048456640 is 466548408.

8048456640 is a `hidden beast` number, since 8 + 0 + 4 + 84 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2276314 + ... + 2279846.

Almost surely, 2^8048456640 is an apocalyptic number.

8048456640 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 8048456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15963558624).

8048456640 is an abundant number, since it is smaller than the sum of its proper divisors (23878660608).

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

8048456640 is a wasteful number, since it uses less digits than its factorization.

8048456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8048456640 is about 89713.1910033302. The cubic root of 8048456640 is about 2004.0299277207.

The spelling of 8048456640 in words is "eight billion, forty-eight million, four hundred fifty-six thousand, six hundred forty".