6456505050 has 144 divisors (see below), whose sum is σ = 17771371488. Its totient is φ = 1679932800.

The previous prime is 6456504991. The next prime is 6456505057. The reversal of 6456505050 is 505056546.

It is a happy number.

6456505050 is a `hidden beast` number, since 645 + 6 + 5 + 0 + 5 + 0 + 5 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6456504996 and 6456505014.

It is not an unprimeable number, because it can be changed into a prime (6456505057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5031709 + ... + 5032991.

It is an arithmetic number, because the mean of its divisors is an integer number (123412302).

Almost surely, 2^6456505050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6456505050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8885685744).

6456505050 is an abundant number, since it is smaller than the sum of its proper divisors (11314866438).

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

6456505050 is a wasteful number, since it uses less digits than its factorization.

6456505050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 6456505050 is about 80352.3804874504. The cubic root of 6456505050 is about 1862.0835565782.

The spelling of 6456505050 in words is "six billion, four hundred fifty-six million, five hundred five thousand, fifty".