1364200000 has 168 divisors, whose sum is σ = 3571646400. Its totient is φ = 515520000.

The previous prime is 1364199997. The next prime is 1364200001. The reversal of 1364200000 is 24631.

It is a super-2 number, since 2×1364200000² = 3722083280000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1364200001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3799821 + ... + 3800179.

It is an arithmetic number, because the mean of its divisors is an integer number (21259800).

Almost surely, 2^1364200000 is an apocalyptic number.

1364200000 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 1364200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785823200).

1364200000 is an abundant number, since it is smaller than the sum of its proper divisors (2207446400).

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

1364200000 is an frugal number, since it uses more digits than its factorization.

1364200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1364200000 is about 36935.0781777973. The cubic root of 1364200000 is about 1109.0709971749.

Adding to 1364200000 its reverse (24631), we get a palindrome (1364224631).

The spelling of 1364200000 in words is "one billion, three hundred sixty-four million, two hundred thousand".