1364668725420 has 576 divisors, whose sum is σ = 5561974978560. Its totient is φ = 261563904000.

The previous prime is 1364668725373. The next prime is 1364668725449. The reversal of 1364668725420 is 245278664631.

1364668725420 is a `hidden beast` number, since 1 + 3 + 64 + 66 + 87 + 25 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 459637696 + ... + 459640664.

It is an arithmetic number, because the mean of its divisors is an integer number (9656206560).

Almost surely, 2^{1364668725420} is an apocalyptic number.

1364668725420 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 1364668725420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780987489280).

1364668725420 is an abundant number, since it is smaller than the sum of its proper divisors (4197306253140).

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

1364668725420 is a wasteful number, since it uses less digits than its factorization.

1364668725420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 1364668725420 in words is "one trillion, three hundred sixty-four billion, six hundred sixty-eight million, seven hundred twenty-five thousand, four hundred twenty".