6420615600 has 480 divisors, whose sum is σ = 24798412800. Its totient is φ = 1388344320.

The previous prime is 6420615599. The next prime is 6420615611. The reversal of 6420615600 is 65160246.

It is a super-3 number, since 3×6420615600³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32264301 + ... + 32264499.

It is an arithmetic number, because the mean of its divisors is an integer number (51663360).

Almost surely, 2^6420615600 is an apocalyptic number.

6420615600 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 6420615600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399206400).

6420615600 is an abundant number, since it is smaller than the sum of its proper divisors (18377797200).

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

6420615600 is a wasteful number, since it uses less digits than its factorization.

6420615600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 6420615600 is about 80128.7439062912. The cubic root of 6420615600 is about 1858.6269204870.

Adding to 6420615600 its reverse (65160246), we get a palindrome (6485775846).

The spelling of 6420615600 in words is "six billion, four hundred twenty million, six hundred fifteen thousand, six hundred".