68201995680 has 1536 divisors, whose sum is σ = 323514777600. Its totient is φ = 13006946304.

The previous prime is 68201995639. The next prime is 68201995681. The reversal of 68201995680 is 8659910286.

It is a happy number.

68201995680 is a `hidden beast` number, since 68 + 2 + 0 + 19 + 9 + 568 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (68201995681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 171793242 + ... + 171793638.

It is an arithmetic number, because the mean of its divisors is an integer number (210621600).

Almost surely, 2^68201995680 is an apocalyptic number.

68201995680 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 68201995680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161757388800).

68201995680 is an abundant number, since it is smaller than the sum of its proper divisors (255312781920).

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

68201995680 is a wasteful number, since it uses less digits than its factorization.

68201995680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 68201995680 in words is "sixty-eight billion, two hundred one million, nine hundred ninety-five thousand, six hundred eighty".