6412717920 has 192 divisors, whose sum is σ = 23255963136. Its totient is φ = 1454960640.

The previous prime is 6412717907. The next prime is 6412717921. The reversal of 6412717920 is 297172146.

It is a super-2 number, since 2×6412717920² = 82245902242978252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412717921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453355 + ... + 467285.

It is an arithmetic number, because the mean of its divisors is an integer number (121124808).

Almost surely, 2^6412717920 is an apocalyptic number.

6412717920 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 6412717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11627981568).

6412717920 is an abundant number, since it is smaller than the sum of its proper divisors (16843245216).

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

6412717920 is a wasteful number, since it uses less digits than its factorization.

6412717920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14093 (or 14085 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 6412717920 is about 80079.4475505420. The cubic root of 6412717920 is about 1857.8645396262.

The spelling of 6412717920 in words is "six billion, four hundred twelve million, seven hundred seventeen thousand, nine hundred twenty".