6496809645456 has 135 divisors (see below), whose sum is σ = 19689453519489. Its totient is φ = 1998896006016.

The previous prime is 6496809645401. The next prime is 6496809645493. The reversal of 6496809645456 is 6545469086946.

The square root of 6496809645456 is 2548884.

It is a perfect power (a square), and thus also a powerful number.

6496809645456 is a `hidden beast` number, since 6 + 4 + 9 + 6 + 80 + 96 + 4 + 5 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 961066515600 + 5535743129856 = 980340^2 + 2352816^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 397617735 + ... + 397634073.

Almost surely, 2^{6496809645456} is an apocalyptic number.

6496809645456 is the 2548884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6496809645456

6496809645456 is an abundant number, since it is smaller than the sum of its proper divisors (13192643874033).

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

6496809645456 is an equidigital number, since it uses as much as digits as its factorization.

6496809645456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32718 (or 16357 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 72.

The spelling of 6496809645456 in words is "six trillion, four hundred ninety-six billion, eight hundred nine million, six hundred forty-five thousand, four hundred fifty-six".