8400268800 has 720 divisors, whose sum is σ = 37519777152. Its totient is φ = 1743667200.

The previous prime is 8400268787. The next prime is 8400268831. The reversal of 8400268800 is 88620048.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8869927 + ... + 8870873.

Almost surely, 2^8400268800 is an apocalyptic number.

8400268800 is a gapful number since it is divisible by the number (80) 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 8400268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18759888576).

8400268800 is an abundant number, since it is smaller than the sum of its proper divisors (29119508352).

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

8400268800 is a wasteful number, since it uses less digits than its factorization.

8400268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8400268800 is about 91652.9803116080. The cubic root of 8400268800 is about 2032.8143965207.

Adding to 8400268800 its reverse (88620048), we get a palindrome (8488888848).

The spelling of 8400268800 in words is "eight billion, four hundred million, two hundred sixty-eight thousand, eight hundred".