1360642000 has 40 divisors (see below), whose sum is σ = 3290037192. Its totient is φ = 544256000.

The previous prime is 1360641943. The next prime is 1360642007. The reversal of 1360642000 is 2460631.

It can be written as a sum of positive squares in 4 ways, for example, as 6990736 + 1353651264 = 2644^2 + 36792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1360642007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338161 + ... + 342160.

Almost surely, 2^1360642000 is an apocalyptic number.

1360642000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1360642000 is an abundant number, since it is smaller than the sum of its proper divisors (1929395192).

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

1360642000 is an equidigital number, since it uses as much as digits as its factorization.

1360642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680344 (or 680328 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1360642000 is about 36886.8811367944. The cubic root of 1360642000 is about 1108.1059602297.

The spelling of 1360642000 in words is "one billion, three hundred sixty million, six hundred forty-two thousand".