68428864982400 has 1536 divisors, whose sum is σ = 258331899033600. Its totient is φ = 15781761515520.

The previous prime is 68428864982393. The next prime is 68428864982459. The reversal of 68428864982400 is 428946882486.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147794524569 + ... + 147794525031.

It is an arithmetic number, because the mean of its divisors is an integer number (168184830100).

Almost surely, 2^{68428864982400} is an apocalyptic number.

68428864982400 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 68428864982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129165949516800).

68428864982400 is an abundant number, since it is smaller than the sum of its proper divisors (189903034051200).

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

68428864982400 is a wasteful number, since it uses less digits than its factorization.

68428864982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 69.

The spelling of 68428864982400 in words is "sixty-eight trillion, four hundred twenty-eight billion, eight hundred sixty-four million, nine hundred eighty-two thousand, four hundred".