6467662080 has 720 divisors, whose sum is σ = 25963084224. Its totient is φ = 1523957760.

The previous prime is 6467662079. The next prime is 6467662081. The reversal of 6467662080 is 802667646.

It is an interprime number because it is at equal distance from previous prime (6467662079) and next prime (6467662081).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6467662081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60445387 + ... + 60445493.

Almost surely, 2^6467662080 is an apocalyptic number.

6467662080 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 6467662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981542112).

6467662080 is an abundant number, since it is smaller than the sum of its proper divisors (19495422144).

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

6467662080 is a wasteful number, since it uses less digits than its factorization.

6467662080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6467662080 is about 80421.7761554667. The cubic root of 6467662080 is about 1863.1555176794.

It can be divided in two parts, 646766 and 2080, that added together give a palindrome (648846).

The spelling of 6467662080 in words is "six billion, four hundred sixty-seven million, six hundred sixty-two thousand, eighty".