66202249680 has 180 divisors, whose sum is σ = 258628008132. Its totient is φ = 15131934720.

The previous prime is 66202249679. The next prime is 66202249723. The reversal of 66202249680 is 8694220266.

66202249680 is a `hidden beast` number, since 6 + 62 + 0 + 22 + 496 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25525813824 + 40676435856 = 159768^2 + 201684^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 902961 + ... + 973520.

Almost surely, 2^66202249680 is an apocalyptic number.

66202249680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66202249680 is an abundant number, since it is smaller than the sum of its proper divisors (192425758452).

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

66202249680 is a wasteful number, since it uses less digits than its factorization.

66202249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876514 (or 1876498 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 66202249680 in words is "sixty-six billion, two hundred two million, two hundred forty-nine thousand, six hundred eighty".