66314037103632 has 240 divisors, whose sum is σ = 192387263056560. Its totient is φ = 21297956585472.

The previous prime is 66314037103619. The next prime is 66314037103687. The reversal of 66314037103632 is 23630173041366.

66314037103632 is a `hidden beast` number, since 6 + 6 + 3 + 1 + 4 + 0 + 3 + 7 + 1 + 0 + 3 + 632 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 112316138496 + 66201720965136 = 335136^2 + 8136444^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9937661448 + ... + 9937668120.

It is an arithmetic number, because the mean of its divisors is an integer number (801613596069).

Almost surely, 2^{66314037103632} 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 66314037103632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96193631528280).

66314037103632 is an abundant number, since it is smaller than the sum of its proper divisors (126073225952928).

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

66314037103632 is a wasteful number, since it uses less digits than its factorization.

66314037103632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11322 (or 11313 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 66314037103632 in words is "sixty-six trillion, three hundred fourteen billion, thirty-seven million, one hundred three thousand, six hundred thirty-two".