1368129960 has 256 divisors, whose sum is σ = 4883616000. Its totient is φ = 339655680.

The previous prime is 1368129929. The next prime is 1368129977. The reversal of 1368129960 is 699218631.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 1251174 + ... + 1252266.

It is an arithmetic number, because the mean of its divisors is an integer number (19076625).

Almost surely, 2^1368129960 is an apocalyptic number.

1368129960 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 1368129960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441808000).

1368129960 is an abundant number, since it is smaller than the sum of its proper divisors (3515486040).

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

1368129960 is a wasteful number, since it uses less digits than its factorization.

1368129960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1368129960 is about 36988.2408340813. The cubic root of 1368129960 is about 1110.1349726302.

It can be divided in two parts, 1368 and 129960, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 1368129960 in words is "one billion, three hundred sixty-eight million, one hundred twenty-nine thousand, nine hundred sixty".