61316874676800 has 1176 divisors, whose sum is σ = 228550387024296. Its totient is φ = 16183197204480.

The previous prime is 61316874676793. The next prime is 61316874676801. The reversal of 61316874676800 is 867647861316.

It is a happy number.

61316874676800 is a `hidden beast` number, since 6 + 1 + 3 + 16 + 87 + 467 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 18677332905984 + 42639541770816 = 4321728^2 + 6529896^2 .

It is not an unprimeable number, because it can be changed into a prime (61316874676801) 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 167 ways as a sum of consecutive naturals, for example, 55895053852 + ... + 55895054948.

Almost surely, 2^{61316874676800} is an apocalyptic number.

61316874676800 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 61316874676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114275193512148).

61316874676800 is an abundant number, since it is smaller than the sum of its proper divisors (167233512347496).

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

61316874676800 is a wasteful number, since it uses less digits than its factorization.

61316874676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 61316874676800 in words is "sixty-one trillion, three hundred sixteen billion, eight hundred seventy-four million, six hundred seventy-six thousand, eight hundred".