66796800000 has 864 divisors, whose sum is σ = 262575069120. Its totient is φ = 15052800000.

The previous prime is 66796799989. The next prime is 66796800019. The reversal of 66796800000 is 869766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 940799965 + ... + 940800035.

It is an arithmetic number, because the mean of its divisors is an integer number (303906330).

Almost surely, 2^66796800000 is an apocalyptic number.

66796800000 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 66796800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131287534560).

66796800000 is an abundant number, since it is smaller than the sum of its proper divisors (195778269120).

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

66796800000 is an frugal number, since it uses more digits than its factorization.

66796800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 66796800000 in words is "sixty-six billion, seven hundred ninety-six million, eight hundred thousand".