4066668763200 has 1344 divisors, whose sum is σ = 16038393120000. Its totient is φ = 1011173621760.

The previous prime is 4066668763133. The next prime is 4066668763219. The reversal of 4066668763200 is 23678666604.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8149636551 + ... + 8149637049.

Almost surely, 2^{4066668763200} is an apocalyptic number.

4066668763200 is a gapful number since it is divisible by the number (40) 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 4066668763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019196560000).

4066668763200 is an abundant number, since it is smaller than the sum of its proper divisors (11971724356800).

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

4066668763200 is a wasteful number, since it uses less digits than its factorization.

4066668763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 4066668763200 in words is "four trillion, sixty-six billion, six hundred sixty-eight million, seven hundred sixty-three thousand, two hundred".