6414391620 has 360 divisors, whose sum is σ = 24909280704. Its totient is φ = 1352961792.

The previous prime is 6414391603. The next prime is 6414391679. The reversal of 6414391620 is 261934146.

6414391620 is a `hidden beast` number, since 64 + 1 + 439 + 162 + 0 = 666.

It is a super-2 number, since 2×6414391620² = 82288839709452448800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1914787 + ... + 1918133.

Almost surely, 2^6414391620 is an apocalyptic number.

6414391620 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 6414391620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454640352).

6414391620 is an abundant number, since it is smaller than the sum of its proper divisors (18494889084).

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

6414391620 is a wasteful number, since it uses less digits than its factorization.

6414391620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6414391620 is about 80089.8971156787. The cubic root of 6414391620 is about 1858.0261579100.

The spelling of 6414391620 in words is "six billion, four hundred fourteen million, three hundred ninety-one thousand, six hundred twenty".