8049063960 has 448 divisors, whose sum is σ = 31730227200. Its totient is φ = 1798495488.

The previous prime is 8049063947. The next prime is 8049063989. The reversal of 8049063960 is 693609408.

8049063960 is a `hidden beast` number, since 8 + 0 + 4 + 9 + 0 + 639 + 6 + 0 = 666.

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 111 ways as a sum of consecutive naturals, for example, 9593221 + ... + 9594059.

It is an arithmetic number, because the mean of its divisors is an integer number (70826400).

Almost surely, 2^8049063960 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 8049063960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15865113600).

8049063960 is an abundant number, since it is smaller than the sum of its proper divisors (23681163240).

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

8049063960 is a wasteful number, since it uses less digits than its factorization.

8049063960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 8049063960 is about 89716.5757260051. The cubic root of 8049063960 is about 2004.0803331130.

The spelling of 8049063960 in words is "eight billion, forty-nine million, sixty-three thousand, nine hundred sixty".