6481880496 has 800 divisors, whose sum is σ = 25317629568. Its totient is φ = 1552711680.

The previous prime is 6481880467. The next prime is 6481880507. The reversal of 6481880496 is 6940881846.

6481880496 is a `hidden beast` number, since 64 + 8 + 18 + 80 + 496 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 106260306 + ... + 106260366.

Almost surely, 2^6481880496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6481880496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658814784).

6481880496 is an abundant number, since it is smaller than the sum of its proper divisors (18835749072).

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

6481880496 is a wasteful number, since it uses less digits than its factorization.

6481880496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 6481880496 is about 80510.1266673951. The cubic root of 6481880496 is about 1864.5198299045.

The spelling of 6481880496 in words is "six billion, four hundred eighty-one million, eight hundred eighty thousand, four hundred ninety-six".