66740746800 has 480 divisors, whose sum is σ = 274580425728. Its totient is φ = 13468815360.

The previous prime is 66740746781. The next prime is 66740746829. The reversal of 66740746800 is 864704766.

It is a happy number.

66740746800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66740746800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2498314 + ... + 2524886.

Almost surely, 2^66740746800 is an apocalyptic number.

66740746800 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 66740746800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137290212864).

66740746800 is an abundant number, since it is smaller than the sum of its proper divisors (207839678928).

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

66740746800 is a wasteful number, since it uses less digits than its factorization.

66740746800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26637 (or 26626 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 66740746800 in words is "sixty-six billion, seven hundred forty million, seven hundred forty-six thousand, eight hundred".