68835745440 has 288 divisors, whose sum is σ = 292865279616. Its totient is φ = 14303508480.

The previous prime is 68835745403. The next prime is 68835745453. The reversal of 68835745440 is 4454753886.

It is a happy number.

68835745440 is a `hidden beast` number, since 68 + 8 + 3 + 574 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199527 + ... + 421286.

It is an arithmetic number, because the mean of its divisors is an integer number (1016893332).

Almost surely, 2^68835745440 is an apocalyptic number.

68835745440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68835745440 is an abundant number, since it is smaller than the sum of its proper divisors (224029534176).

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

68835745440 is a wasteful number, since it uses less digits than its factorization.

68835745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620852 (or 620841 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 68835745440 in words is "sixty-eight billion, eight hundred thirty-five million, seven hundred forty-five thousand, four hundred forty".