68579249040 has 960 divisors, whose sum is σ = 267411456000. Its totient is φ = 15656509440.

The previous prime is 68579248967. The next prime is 68579249083. The reversal of 68579249040 is 4094297586.

68579249040 is a `hidden beast` number, since 6 + 8 + 579 + 24 + 9 + 0 + 40 = 666.

It is a super-2 number, since 2×68579249040² (a number of 22 digits) contains 22 as substring.

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, 770553316 + ... + 770553404.

It is an arithmetic number, because the mean of its divisors is an integer number (278553600).

Almost surely, 2^68579249040 is an apocalyptic number.

68579249040 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 68579249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133705728000).

68579249040 is an abundant number, since it is smaller than the sum of its proper divisors (198832206960).

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

68579249040 is a wasteful number, since it uses less digits than its factorization.

68579249040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 68579249040 in words is "sixty-eight billion, five hundred seventy-nine million, two hundred forty-nine thousand, forty".