6467248656 has 360 divisors, whose sum is σ = 21070838880. Its totient is φ = 1918287360.

The previous prime is 6467248651. The next prime is 6467248687. The reversal of 6467248656 is 6568427646.

6467248656 is a `hidden beast` number, since 6 + 46 + 72 + 486 + 56 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6467248651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27756316 + ... + 27756548.

It is an arithmetic number, because the mean of its divisors is an integer number (58530108).

Almost surely, 2^6467248656 is an apocalyptic number.

6467248656 is a gapful number since it is divisible by the number (66) 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 6467248656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10535419440).

6467248656 is an abundant number, since it is smaller than the sum of its proper divisors (14603590224).

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

6467248656 is a wasteful number, since it uses less digits than its factorization.

6467248656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 308 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 6467248656 is about 80419.2057657871. The cubic root of 6467248656 is about 1863.1158181399.

The spelling of 6467248656 in words is "six billion, four hundred sixty-seven million, two hundred forty-eight thousand, six hundred fifty-six".