61676867160 has 192 divisors, whose sum is σ = 215913185280. Its totient is φ = 15224520960.

The previous prime is 61676867141. The next prime is 61676867179. The reversal of 61676867160 is 6176867616.

61676867160 is a `hidden beast` number, since 616 + 7 + 6 + 8 + 6 + 7 + 16 + 0 = 666.

61676867160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61676867141) and next prime (61676867179).

It is a junction number, because it is equal to n+sod(n) for n = 61676867097 and 61676867106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136537 + ... + 376823.

It is an arithmetic number, because the mean of its divisors is an integer number (1124547840).

Almost surely, 2^61676867160 is an apocalyptic number.

61676867160 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 61676867160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956592640).

61676867160 is an abundant number, since it is smaller than the sum of its proper divisors (154236318120).

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

61676867160 is a wasteful number, since it uses less digits than its factorization.

61676867160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240358 (or 240351 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 61676867160 in words is "sixty-one billion, six hundred seventy-six million, eight hundred sixty-seven thousand, one hundred sixty".