66490437619200 has 960 divisors, whose sum is σ = 264489951559680. Its totient is φ = 14384148480000.

The previous prime is 66490437619169. The next prime is 66490437619297. The reversal of 66490437619200 is 291673409466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5878381545 + ... + 5878392855.

It is an arithmetic number, because the mean of its divisors is an integer number (275510366208).

Almost surely, 2^{66490437619200} is an apocalyptic number.

66490437619200 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 66490437619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132244975779840).

66490437619200 is an abundant number, since it is smaller than the sum of its proper divisors (197999513940480).

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

66490437619200 is a wasteful number, since it uses less digits than its factorization.

66490437619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12519 (or 12498 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 66490437619200 in words is "sixty-six trillion, four hundred ninety billion, four hundred thirty-seven million, six hundred nineteen thousand, two hundred".