61761590891676 has 288 divisors, whose sum is σ = 174261297188160. Its totient is φ = 18324093984768.

The previous prime is 61761590891669. The next prime is 61761590891677. The reversal of 61761590891676 is 67619809516716.

It is a happy number.

61761590891676 is a `hidden beast` number, since 6 + 17 + 6 + 1 + 590 + 8 + 9 + 16 + 7 + 6 = 666.

It is a hoax number, since the sum of its digits (72) 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 (61761590891677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 719545930 + ... + 719631758.

It is an arithmetic number, because the mean of its divisors is an integer number (605073948570).

Almost surely, 2^{61761590891676} 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 61761590891676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87130648594080).

61761590891676 is an abundant number, since it is smaller than the sum of its proper divisors (112499706296484).

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

61761590891676 is a wasteful number, since it uses less digits than its factorization.

61761590891676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86405 (or 86400 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 61761590891676 in words is "sixty-one trillion, seven hundred sixty-one billion, five hundred ninety million, eight hundred ninety-one thousand, six hundred seventy-six".