61777473160 has 32 divisors (see below), whose sum is σ = 149691570840. Its totient is φ = 22810143744.

The previous prime is 61777473137. The next prime is 61777473217. The reversal of 61777473160 is 6137477716.

It can be written as a sum of positive squares in 4 ways, for example, as 18950826244 + 42826646916 = 137662^2 + 206946^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59400897 + ... + 59401936.

Almost surely, 2^61777473160 is an apocalyptic number.

It is an amenable number.

61777473160 is an abundant number, since it is smaller than the sum of its proper divisors (87914097680).

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

61777473160 is a wasteful number, since it uses less digits than its factorization.

61777473160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118802857 (or 118802853 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 49.

The spelling of 61777473160 in words is "sixty-one billion, seven hundred seventy-seven million, four hundred seventy-three thousand, one hundred sixty".