1368662400 has 768 divisors, whose sum is σ = 5990092800. Its totient is φ = 298598400.

The previous prime is 1368662387. The next prime is 1368662411. The reversal of 1368662400 is 42668631.

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 95 ways as a sum of consecutive naturals, for example, 18748764 + ... + 18748836.

It is an arithmetic number, because the mean of its divisors is an integer number (7799600).

Almost surely, 2^1368662400 is an apocalyptic number.

1368662400 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 1368662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995046400).

1368662400 is an abundant number, since it is smaller than the sum of its proper divisors (4621430400).

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

1368662400 is a wasteful number, since it uses less digits than its factorization.

1368662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1368662400 is about 36995.4375565420. The cubic root of 1368662400 is about 1110.2789656769.

The spelling of 1368662400 in words is "one billion, three hundred sixty-eight million, six hundred sixty-two thousand, four hundred".