6406020720 has 540 divisors, whose sum is σ = 24897807480. Its totient is φ = 1474767360.

The previous prime is 6406020703. The next prime is 6406020721. The reversal of 6406020720 is 270206046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6406020721) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 46086411 + ... + 46086549.

Almost surely, 2^6406020720 is an apocalyptic number.

6406020720 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 6406020720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448903740).

6406020720 is an abundant number, since it is smaller than the sum of its proper divisors (18491786760).

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

6406020720 is a wasteful number, since it uses less digits than its factorization.

6406020720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6406020720 is about 80037.6206542898. The cubic root of 6406020720 is about 1857.2175531974.

Adding to 6406020720 its reverse (270206046), we get a palindrome (6676226766).

The spelling of 6406020720 in words is "six billion, four hundred six million, twenty thousand, seven hundred twenty".