68711811840 has 1152 divisors, whose sum is σ = 297538375680. Its totient is φ = 14676000768.

The previous prime is 68711811827. The next prime is 68711811887. The reversal of 68711811840 is 4811811786.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 294900364 + ... + 294900596.

It is an arithmetic number, because the mean of its divisors is an integer number (258279840).

Almost surely, 2^68711811840 is an apocalyptic number.

68711811840 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 68711811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148769187840).

68711811840 is an abundant number, since it is smaller than the sum of its proper divisors (228826563840).

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

68711811840 is a wasteful number, since it uses less digits than its factorization.

68711811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 68711811840 in words is "sixty-eight billion, seven hundred eleven million, eight hundred eleven thousand, eight hundred forty".