6407816220 has 144 divisors (see below), whose sum is σ = 21654228960. Its totient is φ = 1522902528.

The previous prime is 6407816201. The next prime is 6407816237. The reversal of 6407816220 is 226187046.

6407816220 is a `hidden beast` number, since 640 + 7 + 8 + 1 + 6 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20647 + ... + 115073.

It is an arithmetic number, because the mean of its divisors is an integer number (150376590).

Almost surely, 2^6407816220 is an apocalyptic number.

6407816220 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 6407816220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10827114480).

6407816220 is an abundant number, since it is smaller than the sum of its proper divisors (15246412740).

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

6407816220 is a wasteful number, since it uses less digits than its factorization.

6407816220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94484 (or 94479 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6407816220 is about 80048.8364687458. The cubic root of 6407816220 is about 1857.3910526163.

The spelling of 6407816220 in words is "six billion, four hundred seven million, eight hundred sixteen thousand, two hundred twenty".