6467688920 has 256 divisors, whose sum is σ = 19353600000. Its totient is φ = 1884280320.

The previous prime is 6467688893. The next prime is 6467688949. The reversal of 6467688920 is 298867646.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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, 4622381 + ... + 4623779.

It is an arithmetic number, because the mean of its divisors is an integer number (75600000).

Almost surely, 2^6467688920 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 6467688920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800000).

6467688920 is an abundant number, since it is smaller than the sum of its proper divisors (12885911080).

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

6467688920 is a wasteful number, since it uses less digits than its factorization.

6467688920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The square root of 6467688920 is about 80421.9430255201. The cubic root of 6467688920 is about 1863.1580949644.

The spelling of 6467688920 in words is "six billion, four hundred sixty-seven million, six hundred eighty-eight thousand, nine hundred twenty".