68081517504 has 1008 divisors, whose sum is σ = 272876857344. Its totient is φ = 15742771200.

The previous prime is 68081517503. The next prime is 68081517583. The reversal of 68081517504 is 40571518086.

68081517504 is a `hidden beast` number, since 6 + 8 + 0 + 81 + 517 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 68081517504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68081517503) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 232359982 + ... + 232360274.

It is an arithmetic number, because the mean of its divisors is an integer number (270711168).

Almost surely, 2^68081517504 is an apocalyptic number.

68081517504 is a gapful number since it is divisible by the number (64) 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 68081517504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136438428672).

68081517504 is an abundant number, since it is smaller than the sum of its proper divisors (204795339840).

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

68081517504 is a wasteful number, since it uses less digits than its factorization.

68081517504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

It can be divided in two parts, 68081 and 517504, that added together give a palindrome (585585).

The spelling of 68081517504 in words is "sixty-eight billion, eighty-one million, five hundred seventeen thousand, five hundred four".