61189315776 has 672 divisors, whose sum is σ = 201302599680. Its totient is φ = 17683660800.

The previous prime is 61189315763. The next prime is 61189315777. The reversal of 61189315776 is 67751398116.

61189315776 is a `hidden beast` number, since 61 + 1 + 8 + 9 + 3 + 1 + 577 + 6 = 666.

Its product of digits (1905120) is a multiple of the sum of its prime factors (245).

It is not an unprimeable number, because it can be changed into a prime (61189315777) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 737220631 + ... + 737220713.

It is an arithmetic number, because the mean of its divisors is an integer number (299557440).

Almost surely, 2^61189315776 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 61189315776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100651299840).

61189315776 is an abundant number, since it is smaller than the sum of its proper divisors (140113283904).

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

61189315776 is a wasteful number, since it uses less digits than its factorization.

61189315776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 61189315776 in words is "sixty-one billion, one hundred eighty-nine million, three hundred fifteen thousand, seven hundred seventy-six".