61591442688 has 288 divisors, whose sum is σ = 186138086400. Its totient is φ = 20084004864.

The previous prime is 61591442677. The next prime is 61591442713. The reversal of 61591442688 is 88624419516.

61591442688 is a `hidden beast` number, since 6 + 1 + 591 + 4 + 42 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 82895245 + ... + 82895987.

It is an arithmetic number, because the mean of its divisors is an integer number (646312800).

Almost surely, 2^61591442688 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 61591442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93069043200).

61591442688 is an abundant number, since it is smaller than the sum of its proper divisors (124546643712).

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

61591442688 is a wasteful number, since it uses less digits than its factorization.

61591442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 994 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 61591442688 in words is "sixty-one billion, five hundred ninety-one million, four hundred forty-two thousand, six hundred eighty-eight".