68584519376640 has 1728 divisors, whose sum is σ = 257954751774720. Its totient is φ = 17433587957760.

The previous prime is 68584519376617. The next prime is 68584519376683. The reversal of 68584519376640 is 4667391548586.

68584519376640 is a `hidden beast` number, since 6 + 8 + 5 + 8 + 4 + 519 + 3 + 7 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×68584519376640² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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, 112989323217 + ... + 112989323823.

It is an arithmetic number, because the mean of its divisors is an integer number (149279370240).

Almost surely, 2^{68584519376640} is an apocalyptic number.

68584519376640 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 68584519376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128977375887360).

68584519376640 is an abundant number, since it is smaller than the sum of its proper divisors (189370232398080).

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

68584519376640 is a wasteful number, since it uses less digits than its factorization.

68584519376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 68584519376640 in words is "sixty-eight trillion, five hundred eighty-four billion, five hundred nineteen million, three hundred seventy-six thousand, six hundred forty".