68461749720 has 1024 divisors, whose sum is σ = 293807001600. Its totient is φ = 13795246080.

The previous prime is 68461749689. The next prime is 68461749743. The reversal of 68461749720 is 2794716486.

68461749720 is a `hidden beast` number, since 6 + 8 + 461 + 74 + 97 + 20 = 666.

It is a super-2 number, since 2×68461749720² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 243635980 + ... + 243636260.

It is an arithmetic number, because the mean of its divisors is an integer number (286920900).

Almost surely, 2^68461749720 is an apocalyptic number.

68461749720 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 68461749720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146903500800).

68461749720 is an abundant number, since it is smaller than the sum of its proper divisors (225345251880).

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

68461749720 is a wasteful number, since it uses less digits than its factorization.

68461749720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 68461749720 in words is "sixty-eight billion, four hundred sixty-one million, seven hundred forty-nine thousand, seven hundred twenty".