68830516440 has 768 divisors, whose sum is σ = 281788416000. Its totient is φ = 14217016320.

The previous prime is 68830516411. The next prime is 68830516483. The reversal of 68830516440 is 4461503886.

68830516440 is a `hidden beast` number, since 68 + 8 + 30 + 516 + 4 + 40 = 666.

It is a super-2 number, since 2×68830516440² (a number of 22 digits) contains 22 as substring.

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

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, 117257827 + ... + 117258413.

It is an arithmetic number, because the mean of its divisors is an integer number (366912000).

Almost surely, 2^68830516440 is an apocalyptic number.

68830516440 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 68830516440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140894208000).

68830516440 is an abundant number, since it is smaller than the sum of its proper divisors (212957899560).

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

68830516440 is a wasteful number, since it uses less digits than its factorization.

68830516440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 68830516440 in words is "sixty-eight billion, eight hundred thirty million, five hundred sixteen thousand, four hundred forty".