1363878320 has 80 divisors (see below), whose sum is σ = 3634053120. Its totient is φ = 466321152.

The previous prime is 1363878317. The next prime is 1363878353. The reversal of 1363878320 is 238783631.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211301 + ... + 217659.

It is an arithmetic number, because the mean of its divisors is an integer number (45425664).

Almost surely, 2^1363878320 is an apocalyptic number.

1363878320 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 1363878320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817026560).

1363878320 is an abundant number, since it is smaller than the sum of its proper divisors (2270174800).

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

1363878320 is a wasteful number, since it uses less digits than its factorization.

1363878320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6762 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 1363878320 is about 36930.7232531398. The cubic root of 1363878320 is about 1108.9838168974.

The spelling of 1363878320 in words is "one billion, three hundred sixty-three million, eight hundred seventy-eight thousand, three hundred twenty".