68884924416000 has 4320 divisors, whose sum is σ = 307531378732032. Its totient is φ = 13624934400000.

The previous prime is 68884924415981. The next prime is 68884924416019. The reversal of 68884924416000 is 61442948886.

It is an interprime number because it is at equal distance from previous prime (68884924415981) and next prime (68884924416019).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1129261055970 + ... + 1129261056030.

Almost surely, 2^{68884924416000} is an apocalyptic number.

68884924416000 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 68884924416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153765689366016).

68884924416000 is an abundant number, since it is smaller than the sum of its proper divisors (238646454316032).

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

68884924416000 is a wasteful number, since it uses less digits than its factorization.

68884924416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 68884924416000 in words is "sixty-eight trillion, eight hundred eighty-four billion, nine hundred twenty-four million, four hundred sixteen thousand".