6458672220 has 384 divisors, whose sum is σ = 24751319040. Its totient is φ = 1214853120.

The previous prime is 6458672219. The next prime is 6458672237. The reversal of 6458672220 is 222768546.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3182166 + ... + 3184194.

It is an arithmetic number, because the mean of its divisors is an integer number (64456560).

Almost surely, 2^6458672220 is an apocalyptic number.

6458672220 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 6458672220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375659520).

6458672220 is an abundant number, since it is smaller than the sum of its proper divisors (18292646820).

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

6458672220 is a wasteful number, since it uses less digits than its factorization.

6458672220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 6458672220 is about 80365.8647685695. The cubic root of 6458672220 is about 1862.2918736252.

The spelling of 6458672220 in words is "six billion, four hundred fifty-eight million, six hundred seventy-two thousand, two hundred twenty".