68024896416 has 240 divisors, whose sum is σ = 210285028800. Its totient is φ = 21530437632.

The previous prime is 68024896391. The next prime is 68024896451. The reversal of 68024896416 is 61469842086.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 8282520 + ... + 8290728.

It is an arithmetic number, because the mean of its divisors is an integer number (876187620).

Almost surely, 2^68024896416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68024896416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105142514400).

68024896416 is an abundant number, since it is smaller than the sum of its proper divisors (142260132384).

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

68024896416 is a wasteful number, since it uses less digits than its factorization.

68024896416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8393 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

It can be divided in two parts, 680 and 24896416, that added together give a triangular number (24897096 = T₇₀₅₆).

The spelling of 68024896416 in words is "sixty-eight billion, twenty-four million, eight hundred ninety-six thousand, four hundred sixteen".