6467711040 has 672 divisors, whose sum is σ = 26779484160. Its totient is φ = 1401753600.

The previous prime is 6467711027. The next prime is 6467711057. The reversal of 6467711040 is 401177646.

6467711040 is a `hidden beast` number, since 646 + 7 + 7 + 1 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 6467710986 and 6467711004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49371775 + ... + 49371905.

Almost surely, 2^6467711040 is an apocalyptic number.

6467711040 is a gapful number since it is divisible by the number (60) 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 6467711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13389742080).

6467711040 is an abundant number, since it is smaller than the sum of its proper divisors (20311773120).

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

6467711040 is a wasteful number, since it uses less digits than its factorization.

6467711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6467711040 is about 80422.0805500579. The cubic root of 6467711040 is about 1863.1602190106.

Adding to 6467711040 its reverse (401177646), we get a palindrome (6868888686).

The spelling of 6467711040 in words is "six billion, four hundred sixty-seven million, seven hundred eleven thousand, forty".