61436173827600 has 720 divisors, whose sum is σ = 250643660904000. Its totient is φ = 13738610995200.

The previous prime is 61436173827577. The next prime is 61436173827617. The reversal of 61436173827600 is 672837163416.

It is a happy number.

61436173827600 is a `hidden beast` number, since 6 + 1 + 4 + 3 + 6 + 1 + 7 + 3 + 8 + 27 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 771645394 + ... + 771725006.

It is an arithmetic number, because the mean of its divisors is an integer number (348116195700).

Almost surely, 2^{61436173827600} is an apocalyptic number.

61436173827600 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 61436173827600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125321830452000).

61436173827600 is an abundant number, since it is smaller than the sum of its proper divisors (189207487076400).

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

61436173827600 is a wasteful number, since it uses less digits than its factorization.

61436173827600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81160 (or 81146 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 61436173827600 in words is "sixty-one trillion, four hundred thirty-six billion, one hundred seventy-three million, eight hundred twenty-seven thousand, six hundred".