61671099960 has 96 divisors (see below), whose sum is σ = 200864514240. Its totient is φ = 16410062592.

The previous prime is 61671099907. The next prime is 61671099967. The reversal of 61671099960 is 6999017616.

61671099960 is a `hidden beast` number, since 616 + 7 + 10 + 9 + 9 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61671099897 and 61671099906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61671099967) 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 23 ways as a sum of consecutive naturals, for example, 18319 + ... + 351678.

It is an arithmetic number, because the mean of its divisors is an integer number (2092338690).

Almost surely, 2^61671099960 is an apocalyptic number.

61671099960 is a gapful number since it is divisible by the number (60) 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 61671099960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100432257120).

61671099960 is an abundant number, since it is smaller than the sum of its proper divisors (139193414280).

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

61671099960 is a wasteful number, since it uses less digits than its factorization.

61671099960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370477 (or 370470 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 61671099960 in words is "sixty-one billion, six hundred seventy-one million, ninety-nine thousand, nine hundred sixty".