1368057600 has 1080 divisors, whose sum is σ = 6440316960. Its totient is φ = 278691840.

The previous prime is 1368057577. The next prime is 1368057601. The reversal of 1368057600 is 67508631.

1368057600 is a `hidden beast` number, since 1 + 3 + 6 + 80 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368057601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47174386 + ... + 47174414.

Almost surely, 2^1368057600 is an apocalyptic number.

1368057600 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 1368057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220158480).

1368057600 is an abundant number, since it is smaller than the sum of its proper divisors (5072259360).

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

1368057600 is a wasteful number, since it uses less digits than its factorization.

1368057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

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

The square root of 1368057600 is about 36987.2626724390. The cubic root of 1368057600 is about 1110.1154007120.

The spelling of 1368057600 in words is "one billion, three hundred sixty-eight million, fifty-seven thousand, six hundred".