68678057269440 has 896 divisors, whose sum is σ = 261916932096000. Its totient is φ = 17112062177280.

The previous prime is 68678057269403. The next prime is 68678057269463. The reversal of 68678057269440 is 4496275087686.

68678057269440 is a `hidden beast` number, since 6 + 8 + 6 + 7 + 8 + 0 + 572 + 6 + 9 + 4 + 40 = 666.

68678057269440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 629101581 + ... + 629210739.

Almost surely, 2^{68678057269440} is an apocalyptic number.

68678057269440 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 68678057269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130958466048000).

68678057269440 is an abundant number, since it is smaller than the sum of its proper divisors (193238874826560).

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

68678057269440 is a wasteful number, since it uses less digits than its factorization.

68678057269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109257 (or 109229 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 68678057269440 in words is "sixty-eight trillion, six hundred seventy-eight billion, fifty-seven million, two hundred sixty-nine thousand, four hundred forty".