1664772760200 has 192 divisors, whose sum is σ = 5631032805120. Its totient is φ = 403504288000.

The previous prime is 1664772760181. The next prime is 1664772760207. The reversal of 1664772760200 is 20672774661.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1664772760200.

It is not an unprimeable number, because it can be changed into a prime (1664772760207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39493135 + ... + 39535265.

It is an arithmetic number, because the mean of its divisors is an integer number (29328295860).

Almost surely, 2^{1664772760200} is an apocalyptic number.

1664772760200 is a gapful number since it is divisible by the number (10) 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 1664772760200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815516402560).

1664772760200 is an abundant number, since it is smaller than the sum of its proper divisors (3966260044920).

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

1664772760200 is a wasteful number, since it uses less digits than its factorization.

1664772760200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48148 (or 48139 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 1664772760200 in words is "one trillion, six hundred sixty-four billion, seven hundred seventy-two million, seven hundred sixty thousand, two hundred".