68020579440 has 720 divisors, whose sum is σ = 267844606848. Its totient is φ = 15909696000.

The previous prime is 68020579411. The next prime is 68020579489. The reversal of 68020579440 is 4497502086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 205500075 + ... + 205500405.

Almost surely, 2^68020579440 is an apocalyptic number.

68020579440 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 68020579440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922303424).

68020579440 is an abundant number, since it is smaller than the sum of its proper divisors (199824027408).

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

68020579440 is a wasteful number, since it uses less digits than its factorization.

68020579440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 68020579440 in words is "sixty-eight billion, twenty million, five hundred seventy-nine thousand, four hundred forty".