6266660400 has 1440 divisors, whose sum is σ = 30626039808. Its totient is φ = 1144627200.

The previous prime is 6266660383. The next prime is 6266660401. The reversal of 6266660400 is 40666626.

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

It is not an unprimeable number, because it can be changed into a prime (6266660401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 133333177 + ... + 133333223.

Almost surely, 2^6266660400 is an apocalyptic number.

6266660400 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 6266660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313019904).

6266660400 is an abundant number, since it is smaller than the sum of its proper divisors (24359379408).

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

6266660400 is a wasteful number, since it uses less digits than its factorization.

6266660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6266660400 is about 79162.2409991026. The cubic root of 6266660400 is about 1843.6510288347.

It can be divided in two parts, 6266 and 660400, that added together give a palindrome (666666).

The spelling of 6266660400 in words is "six billion, two hundred sixty-six million, six hundred sixty thousand, four hundred".