1368691077600 has 864 divisors, whose sum is σ = 6060894577920. Its totient is φ = 282341376000.

The previous prime is 1368691077581. The next prime is 1368691077617. The reversal of 1368691077600 is 67701968631.

It is a happy number.

1368691077600 is a `hidden beast` number, since 13 + 6 + 8 + 6 + 9 + 10 + 7 + 7 + 600 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77052720 + ... + 77070480.

It is an arithmetic number, because the mean of its divisors is an integer number (7014924280).

Almost surely, 2^{1368691077600} is an apocalyptic number.

1368691077600 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 1368691077600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030447288960).

1368691077600 is an abundant number, since it is smaller than the sum of its proper divisors (4692203500320).

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

1368691077600 is a wasteful number, since it uses less digits than its factorization.

1368691077600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17944 (or 17928 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1368691077600 in words is "one trillion, three hundred sixty-eight billion, six hundred ninety-one million, seventy-seven thousand, six hundred".