66820723200 has 1920 divisors, whose sum is σ = 319545262080. Its totient is φ = 13436928000.

The previous prime is 66820723171. The next prime is 66820723213. The reversal of 66820723200 is 232702866.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2155507185 + ... + 2155507215.

It is an arithmetic number, because the mean of its divisors is an integer number (166429824).

Almost surely, 2^66820723200 is an apocalyptic number.

66820723200 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 66820723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159772631040).

66820723200 is an abundant number, since it is smaller than the sum of its proper divisors (252724538880).

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

66820723200 is an equidigital number, since it uses as much as digits as its factorization.

66820723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 66820723200 in words is "sixty-six billion, eight hundred twenty million, seven hundred twenty-three thousand, two hundred".