66626128800 has 864 divisors, whose sum is σ = 303829553664. Its totient is φ = 13841280000.

The previous prime is 66626128787. The next prime is 66626128843. The reversal of 66626128800 is 882162666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 14966575 + ... + 14971025.

It is an arithmetic number, because the mean of its divisors is an integer number (351654576).

Almost surely, 2^66626128800 is an apocalyptic number.

66626128800 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 66626128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151914776832).

66626128800 is an abundant number, since it is smaller than the sum of its proper divisors (237203424864).

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

66626128800 is a wasteful number, since it uses less digits than its factorization.

66626128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 66626128800 in words is "sixty-six billion, six hundred twenty-six million, one hundred twenty-eight thousand, eight hundred".