61077639168 has 1170 divisors, whose sum is σ = 242808319446. Its totient is φ = 15160836096.

The previous prime is 61077639163. The next prime is 61077639179. The reversal of 61077639168 is 86193677016.

It is a happy number.

61077639168 is a `hidden beast` number, since 610 + 7 + 7 + 6 + 3 + 9 + 16 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13672157184 + 47405481984 = 116928^2 + 217728^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61077639163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3592802296 + ... + 3592802312.

Almost surely, 2^61077639168 is an apocalyptic number.

61077639168 is a gapful number since it is divisible by the number (68) 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 61077639168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121404159723).

61077639168 is an abundant number, since it is smaller than the sum of its proper divisors (181730680278).

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

61077639168 is a wasteful number, since it uses less digits than its factorization.

61077639168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 61077639168 in words is "sixty-one billion, seventy-seven million, six hundred thirty-nine thousand, one hundred sixty-eight".