1356389734680 has 512 divisors, whose sum is σ = 4699347840000. Its totient is φ = 352165086720.

The previous prime is 1356389734673. The next prime is 1356389734697. The reversal of 1356389734680 is 864379836531.

1356389734680 is a `hidden beast` number, since 1 + 3 + 56 + 38 + 97 + 3 + 468 + 0 = 666.

It is a super-2 number, since 2×1356389734680² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 562582675 + ... + 562585085.

It is an arithmetic number, because the mean of its divisors is an integer number (9178413750).

Almost surely, 2^{1356389734680} is an apocalyptic number.

1356389734680 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 1356389734680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349673920000).

1356389734680 is an abundant number, since it is smaller than the sum of its proper divisors (3342958105320).

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

1356389734680 is a wasteful number, since it uses less digits than its factorization.

1356389734680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 1356389734680 in words is "one trillion, three hundred fifty-six billion, three hundred eighty-nine million, seven hundred thirty-four thousand, six hundred eighty".