68025651724800 has 5760 divisors, whose sum is σ = 336454532198400. Its totient is φ = 13302558720000.

The previous prime is 68025651724733. The next prime is 68025651724889. The reversal of 68025651724800 is 842715652086.

68025651724800 is a `hidden beast` number, since 6 + 8 + 0 + 2 + 565 + 1 + 72 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 450501004725 + ... + 450501004875.

Almost surely, 2^{68025651724800} is an apocalyptic number.

68025651724800 is a gapful number since it is divisible by the number (60) 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 68025651724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168227266099200).

68025651724800 is an abundant number, since it is smaller than the sum of its proper divisors (268428880473600).

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

68025651724800 is a wasteful number, since it uses less digits than its factorization.

68025651724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 68025651724800 in words is "sixty-eight trillion, twenty-five billion, six hundred fifty-one million, seven hundred twenty-four thousand, eight hundred".