66743740800 has 1296 divisors, whose sum is σ = 286589798820. Its totient is φ = 15228518400.

The previous prime is 66743740799. The next prime is 66743740813. The reversal of 66743740800 is 804734766.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3926102392 + ... + 3926102408.

Almost surely, 2^66743740800 is an apocalyptic number.

66743740800 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 66743740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143294899410).

66743740800 is an abundant number, since it is smaller than the sum of its proper divisors (219846058020).

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

66743740800 is an equidigital number, since it uses as much as digits as its factorization.

66743740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 66743740800 in words is "sixty-six billion, seven hundred forty-three million, seven hundred forty thousand, eight hundred".