6516894240 has 576 divisors, whose sum is σ = 24845812992. Its totient is φ = 1548288000.

The previous prime is 6516894233. The next prime is 6516894271. The reversal of 6516894240 is 424986156.

6516894240 is a `hidden beast` number, since 6 + 516 + 8 + 94 + 2 + 40 = 666.

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 95 ways as a sum of consecutive naturals, for example, 43158165 + ... + 43158315.

It is an arithmetic number, because the mean of its divisors is an integer number (43135092).

Almost surely, 2^6516894240 is an apocalyptic number.

6516894240 is a gapful number since it is divisible by the number (60) 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 6516894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422906496).

6516894240 is an abundant number, since it is smaller than the sum of its proper divisors (18328918752).

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

6516894240 is a wasteful number, since it uses less digits than its factorization.

6516894240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6516894240 is about 80727.2831203925. The cubic root of 6516894240 is about 1867.8710498560.

The spelling of 6516894240 in words is "six billion, five hundred sixteen million, eight hundred ninety-four thousand, two hundred forty".