68450467680 has 864 divisors, whose sum is σ = 282527009856. Its totient is φ = 15035424768.

The previous prime is 68450467669. The next prime is 68450467681. The reversal of 68450467680 is 8676405486.

68450467680 is a `hidden beast` number, since 6 + 8 + 450 + 46 + 76 + 80 = 666.

It is a super-2 number, since 2×68450467680² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68450467681) 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, 409882957 + ... + 409883123.

It is an arithmetic number, because the mean of its divisors is an integer number (326998854).

Almost surely, 2^68450467680 is an apocalyptic number.

68450467680 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 68450467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141263504928).

68450467680 is an abundant number, since it is smaller than the sum of its proper divisors (214076542176).

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

68450467680 is a wasteful number, since it uses less digits than its factorization.

68450467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

It can be divided in two parts, 68450 and 467680, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 68450467680 in words is "sixty-eight billion, four hundred fifty million, four hundred sixty-seven thousand, six hundred eighty".