7068400754688 has 2240 divisors, whose sum is σ = 28081395175680. Its totient is φ = 1719926784000.

The previous prime is 7068400754677. The next prime is 7068400754777. The reversal of 7068400754688 is 8864570048607.

7068400754688 is a `hidden beast` number, since 7 + 0 + 6 + 8 + 4 + 0 + 0 + 7 + 546 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 69984165838 + ... + 69984165938.

It is an arithmetic number, because the mean of its divisors is an integer number (12536337132).

Almost surely, 2^{7068400754688} is an apocalyptic number.

7068400754688 is a gapful number since it is divisible by the number (78) 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 7068400754688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040697587840).

7068400754688 is an abundant number, since it is smaller than the sum of its proper divisors (21012994420992).

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

7068400754688 is a wasteful number, since it uses less digits than its factorization.

7068400754688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 7068400754688 in words is "seven trillion, sixty-eight billion, four hundred million, seven hundred fifty-four thousand, six hundred eighty-eight".