6467424624 has 120 divisors (see below), whose sum is σ = 18581904432. Its totient is φ = 2098621440.

The previous prime is 6467424619. The next prime is 6467424629. The reversal of 6467424624 is 4264247646.

It is an interprime number because it is at equal distance from previous prime (6467424619) and next prime (6467424629).

It is a self number, because there is not a number n which added to its sum of digits gives 6467424624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6467424629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3618259 + ... + 3620045.

Almost surely, 2^6467424624 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 6467424624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9290952216).

6467424624 is an abundant number, since it is smaller than the sum of its proper divisors (12114479808).

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

6467424624 is a wasteful number, since it uses less digits than its factorization.

6467424624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2446 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The square root of 6467424624 is about 80420.2998253550. The cubic root of 6467424624 is about 1863.1327158867.

It can be divided in two parts, 64674 and 24624, that added together give a palindrome (89298).

The spelling of 6467424624 in words is "six billion, four hundred sixty-seven million, four hundred twenty-four thousand, six hundred twenty-four".