1360680000 has 560 divisors, whose sum is σ = 5141854080. Its totient is φ = 315392000.

The previous prime is 1360679981. The next prime is 1360680011. The reversal of 1360680000 is 860631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46919986 + ... + 46920014.

Almost surely, 2^1360680000 is an apocalyptic number.

1360680000 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 1360680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570927040).

1360680000 is an abundant number, since it is smaller than the sum of its proper divisors (3781174080).

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

1360680000 is a wasteful number, since it uses less digits than its factorization.

1360680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1360680000 is about 36887.3962214738. The cubic root of 1360680000 is about 1108.1162758588.

The spelling of 1360680000 in words is "one billion, three hundred sixty million, six hundred eighty thousand".