6496757280 has 240 divisors, whose sum is σ = 24692482584. Its totient is φ = 1599160320.

The previous prime is 6496757249. The next prime is 6496757299. The reversal of 6496757280 is 827576946.

6496757280 is a `hidden beast` number, since 6 + 4 + 9 + 67 + 572 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3149903376 + 3346853904 = 56124^2 + 57852^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 149200 + ... + 187760.

Almost surely, 2^6496757280 is an apocalyptic number.

6496757280 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 6496757280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346241292).

6496757280 is an abundant number, since it is smaller than the sum of its proper divisors (18195725304).

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

6496757280 is a wasteful number, since it uses less digits than its factorization.

6496757280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38601 (or 38584 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 6496757280 is about 80602.4644784513. The cubic root of 6496757280 is about 1865.9451809249.

The spelling of 6496757280 in words is "six billion, four hundred ninety-six million, seven hundred fifty-seven thousand, two hundred eighty".