1356205680 has 400 divisors, whose sum is σ = 4956361344. Its totient is φ = 343388160.

The previous prime is 1356205673. The next prime is 1356205691. The reversal of 1356205680 is 865026531.

1356205680 is a `hidden beast` number, since 1 + 35 + 62 + 0 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18578124 + ... + 18578196.

Almost surely, 2^1356205680 is an apocalyptic number.

1356205680 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 1356205680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478180672).

1356205680 is an abundant number, since it is smaller than the sum of its proper divisors (3600155664).

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

1356205680 is a wasteful number, since it uses less digits than its factorization.

1356205680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1356205680 is about 36826.6979241962. The cubic root of 1356205680 is about 1106.9003369416.

The spelling of 1356205680 in words is "one billion, three hundred fifty-six million, two hundred five thousand, six hundred eighty".