1368496800 has 432 divisors, whose sum is σ = 5418215712. Its totient is φ = 322099200.

The previous prime is 1368496781. The next prime is 1368496807. The reversal of 1368496800 is 86948631.

It is a super-2 number, since 2×1368496800² = 3745566983220480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368496807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2930167 + ... + 2930633.

It is an arithmetic number, because the mean of its divisors is an integer number (12542166).

Almost surely, 2^1368496800 is an apocalyptic number.

1368496800 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 1368496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709107856).

1368496800 is an abundant number, since it is smaller than the sum of its proper divisors (4049718912).

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

1368496800 is a wasteful number, since it uses less digits than its factorization.

1368496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1368496800 is about 36993.1993750203. The cubic root of 1368496800 is about 1110.2341848231.

The spelling of 1368496800 in words is "one billion, three hundred sixty-eight million, four hundred ninety-six thousand, eight hundred".