1368576000 has 624 divisors, whose sum is σ = 5581412928. Its totient is φ = 331776000.

The previous prime is 1368575983. The next prime is 1368576029. The reversal of 1368576000 is 6758631.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124415995 + ... + 124416005.

It is an arithmetic number, because the mean of its divisors is an integer number (8944572).

Almost surely, 2^1368576000 is an apocalyptic number.

1368576000 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 1368576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790706464).

1368576000 is an abundant number, since it is smaller than the sum of its proper divisors (4212836928).

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

1368576000 is an frugal number, since it uses more digits than its factorization.

1368576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1368576000 is about 36994.2698265556. The cubic root of 1368576000 is about 1110.2556022039.

The spelling of 1368576000 in words is "one billion, three hundred sixty-eight million, five hundred seventy-six thousand".