1364428800 has 720 divisors, whose sum is σ = 5898372480. Its totient is φ = 305233920.

The previous prime is 1364428787. The next prime is 1364428831. The reversal of 1364428800 is 88244631.

1364428800 is a `hidden beast` number, since 1 + 3 + 644 + 2 + 8 + 8 + 0 + 0 = 666.

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 59 ways as a sum of consecutive naturals, for example, 29030377 + ... + 29030423.

It is an arithmetic number, because the mean of its divisors is an integer number (8192184).

Almost surely, 2^1364428800 is an apocalyptic number.

1364428800 is a gapful number since it is divisible by the number (10) 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 1364428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949186240).

1364428800 is an abundant number, since it is smaller than the sum of its proper divisors (4533943680).

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

1364428800 is an equidigital number, since it uses as much as digits as its factorization.

1364428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1364428800 is about 36938.1753745363. The cubic root of 1364428800 is about 1109.1329971894.

The spelling of 1364428800 in words is "one billion, three hundred sixty-four million, four hundred twenty-eight thousand, eight hundred".