68879369744640 has 5184 divisors, whose sum is σ = 330215623153920. Its totient is φ = 13639234387968.

The previous prime is 68879369744587. The next prime is 68879369744677. The reversal of 68879369744640 is 4644796397886.

68879369744640 is a `hidden beast` number, since 6 + 8 + 8 + 7 + 93 + 69 + 7 + 4 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 68879369744640.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 643732427467 + ... + 643732427573.

It is an arithmetic number, because the mean of its divisors is an integer number (63699001380).

Almost surely, 2^{68879369744640} is an apocalyptic number.

68879369744640 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 68879369744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165107811576960).

68879369744640 is an abundant number, since it is smaller than the sum of its proper divisors (261336253409280).

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

68879369744640 is a wasteful number, since it uses less digits than its factorization.

68879369744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 10534551552, while the sum is 81.

The spelling of 68879369744640 in words is "sixty-eight trillion, eight hundred seventy-nine billion, three hundred sixty-nine million, seven hundred forty-four thousand, six hundred forty".