6467172880 has 240 divisors, whose sum is σ = 19012354560. Its totient is φ = 2032128000.

The previous prime is 6467172863. The next prime is 6467172917. The reversal of 6467172880 is 882717646.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2307480 + ... + 2310280.

It is an arithmetic number, because the mean of its divisors is an integer number (79218144).

Almost surely, 2^6467172880 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 6467172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9506177280).

6467172880 is an abundant number, since it is smaller than the sum of its proper divisors (12545181680).

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

6467172880 is a wasteful number, since it uses less digits than its factorization.

6467172880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The square root of 6467172880 is about 80418.7346331687. The cubic root of 6467172880 is about 1863.1085414744.

The spelling of 6467172880 in words is "six billion, four hundred sixty-seven million, one hundred seventy-two thousand, eight hundred eighty".