6236630400 has 1152 divisors, whose sum is σ = 28260691200. Its totient is φ = 1175961600.

The previous prime is 6236630381. The next prime is 6236630401. The reversal of 6236630400 is 40366326.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6236630401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105705571 + ... + 105705629.

It is an arithmetic number, because the mean of its divisors is an integer number (24531850).

Almost surely, 2^6236630400 is an apocalyptic number.

6236630400 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 6236630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14130345600).

6236630400 is an abundant number, since it is smaller than the sum of its proper divisors (22024060800).

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

6236630400 is a wasteful number, since it uses less digits than its factorization.

6236630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 6236630400 is about 78972.3394613582. The cubic root of 6236630400 is about 1840.7013709288.

Adding to 6236630400 its reverse (40366326), we get a palindrome (6276996726).

It can be divided in two parts, 6236 and 630400, that added together give a palindrome (636636).

The spelling of 6236630400 in words is "six billion, two hundred thirty-six million, six hundred thirty thousand, four hundred".