66889317600 has 864 divisors, whose sum is σ = 296186042880. Its totient is φ = 13849989120.

The previous prime is 66889317553. The next prime is 66889317629. The reversal of 66889317600 is 671398866.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22023282 + ... + 22026318.

It is an arithmetic number, because the mean of its divisors is an integer number (342807920).

Almost surely, 2^66889317600 is an apocalyptic number.

66889317600 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 66889317600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148093021440).

66889317600 is an abundant number, since it is smaller than the sum of its proper divisors (229296725280).

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

66889317600 is a wasteful number, since it uses less digits than its factorization.

66889317600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 66889317600 in words is "sixty-six billion, eight hundred eighty-nine million, three hundred seventeen thousand, six hundred".