66705408000 has 1440 divisors, whose sum is σ = 306208401408. Its totient is φ = 13565952000.

The previous prime is 66705407999. The next prime is 66705408017. The reversal of 66705408000 is 80450766.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×66705408000² (a number of 22 digits) contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

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, 1419263977 + ... + 1419264023.

Almost surely, 2^66705408000 is an apocalyptic number.

66705408000 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 66705408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153104200704).

66705408000 is an abundant number, since it is smaller than the sum of its proper divisors (239502993408).

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

66705408000 is a wasteful number, since it uses less digits than its factorization.

66705408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 66705408000 its reverse (80450766), we get a palindrome (66785858766).

The spelling of 66705408000 in words is "sixty-six billion, seven hundred five million, four hundred eight thousand".