6467006340 has 72 divisors (see below), whose sum is σ = 19623240000. Its totient is φ = 1723950144.

The previous prime is 6467006339. The next prime is 6467006389. The reversal of 6467006340 is 436007646.

6467006340 is a `hidden beast` number, since 646 + 7 + 0 + 0 + 6 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6467006295 and 6467006304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896227 + ... + 903413.

It is an arithmetic number, because the mean of its divisors is an integer number (272545000).

Almost surely, 2^6467006340 is an apocalyptic number.

6467006340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6467006340 is an abundant number, since it is smaller than the sum of its proper divisors (13156233660).

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

6467006340 is a wasteful number, since it uses less digits than its factorization.

6467006340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12201 (or 12196 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6467006340 is about 80417.6991712645. The cubic root of 6467006340 is about 1863.0925486665.

The spelling of 6467006340 in words is "six billion, four hundred sixty-seven million, six thousand, three hundred forty".