68781584928000 has 1152 divisors, whose sum is σ = 277266094350336. Its totient is φ = 14753218560000.

The previous prime is 68781584927989. The next prime is 68781584928011. The reversal of 68781584928000 is 82948518786.

It is an interprime number because it is at equal distance from previous prime (68781584927989) and next prime (68781584928011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3964119325 + ... + 3964136675.

It is an arithmetic number, because the mean of its divisors is an integer number (240682373568).

Almost surely, 2^{68781584928000} is an apocalyptic number.

68781584928000 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 68781584928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138633047175168).

68781584928000 is an abundant number, since it is smaller than the sum of its proper divisors (208484509422336).

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

68781584928000 is a wasteful number, since it uses less digits than its factorization.

68781584928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17756 (or 17732 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 66.

The spelling of 68781584928000 in words is "sixty-eight trillion, seven hundred eighty-one billion, five hundred eighty-four million, nine hundred twenty-eight thousand".