6467363840 has 176 divisors, whose sum is σ = 18305485824. Its totient is φ = 2145484800.

The previous prime is 6467363807. The next prime is 6467363867. The reversal of 6467363840 is 483637646.

It is a super-3 number, since 3×6467363840³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108130 + ... + 1113950.

Almost surely, 2^6467363840 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 6467363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9152742912).

6467363840 is an abundant number, since it is smaller than the sum of its proper divisors (11838121984).

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

6467363840 is a wasteful number, since it uses less digits than its factorization.

6467363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 47.

The square root of 6467363840 is about 80419.9219099347. The cubic root of 6467363840 is about 1863.1268789928.

The spelling of 6467363840 in words is "six billion, four hundred sixty-seven million, three hundred sixty-three thousand, eight hundred forty".