6496326144 has 640 divisors, whose sum is σ = 25455513600. Its totient is φ = 1583677440.

The previous prime is 6496326131. The next prime is 6496326167. The reversal of 6496326144 is 4416236946.

6496326144 is a `hidden beast` number, since 6 + 4 + 9 + 632 + 6 + 1 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6496326144.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18095437 + ... + 18095795.

It is an arithmetic number, because the mean of its divisors is an integer number (39774240).

Almost surely, 2^6496326144 is an apocalyptic number.

6496326144 is a gapful number since it is divisible by the number (64) 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 6496326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727756800).

6496326144 is an abundant number, since it is smaller than the sum of its proper divisors (18959187456).

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

6496326144 is a wasteful number, since it uses less digits than its factorization.

6496326144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 399 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 6496326144 is about 80599.7899749125. The cubic root of 6496326144 is about 1865.9039042334.

The spelling of 6496326144 in words is "six billion, four hundred ninety-six million, three hundred twenty-six thousand, one hundred forty-four".