61970175168 has 336 divisors, whose sum is σ = 189719712000. Its totient is φ = 17812551680.

The previous prime is 61970175133. The next prime is 61970175181. The reversal of 61970175168 is 86157107916.

It is a super-2 number, since 2×61970175168² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61970175168.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 39749173 + ... + 39750731.

It is an arithmetic number, because the mean of its divisors is an integer number (564642000).

Almost surely, 2^61970175168 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 61970175168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94859856000).

61970175168 is an abundant number, since it is smaller than the sum of its proper divisors (127749536832).

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

61970175168 is a wasteful number, since it uses less digits than its factorization.

61970175168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 51.

The spelling of 61970175168 in words is "sixty-one billion, nine hundred seventy million, one hundred seventy-five thousand, one hundred sixty-eight".