6467961024 has 448 divisors, whose sum is σ = 22971678720. Its totient is φ = 1745556480.

The previous prime is 6467960987. The next prime is 6467961037. The reversal of 6467961024 is 4201697646.

6467961024 is a `hidden beast` number, since 6 + 4 + 6 + 7 + 9 + 610 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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, 17623689 + ... + 17624055.

Almost surely, 2^6467961024 is an apocalyptic number.

6467961024 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 6467961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11485839360).

6467961024 is an abundant number, since it is smaller than the sum of its proper divisors (16503717696).

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

6467961024 is a wasteful number, since it uses less digits than its factorization.

6467961024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6467961024 is about 80423.6347350703. The cubic root of 6467961024 is about 1863.1842230846.

The spelling of 6467961024 in words is "six billion, four hundred sixty-seven million, nine hundred sixty-one thousand, twenty-four".