1368506880 has 320 divisors, whose sum is σ = 5238414720. Its totient is φ = 336642048.

The previous prime is 1368506813. The next prime is 1368506899. The reversal of 1368506880 is 886058631.

1368506880 is a `hidden beast` number, since 1 + 3 + 68 + 506 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1368506880² = 3745622161214668800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897799 + ... + 899321.

It is an arithmetic number, because the mean of its divisors is an integer number (16370046).

Almost surely, 2^1368506880 is an apocalyptic number.

1368506880 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 1368506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619207360).

1368506880 is an abundant number, since it is smaller than the sum of its proper divisors (3869907840).

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

1368506880 is a wasteful number, since it uses less digits than its factorization.

1368506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1368506880 is about 36993.3356160268. The cubic root of 1368506880 is about 1110.2369107174.

The spelling of 1368506880 in words is "one billion, three hundred sixty-eight million, five hundred six thousand, eight hundred eighty".