6664768452000 has 480 divisors, whose sum is σ = 24827105983680. Its totient is φ = 1750739443200.

The previous prime is 6664768451911. The next prime is 6664768452007. The reversal of 6664768452000 is 2548674666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (6664768452007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21554491 + ... + 21861509.

It is an arithmetic number, because the mean of its divisors is an integer number (51723137466).

Almost surely, 2^{6664768452000} is an apocalyptic number.

6664768452000 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 6664768452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12413552991840).

6664768452000 is an abundant number, since it is smaller than the sum of its proper divisors (18162337531680).

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

6664768452000 is a wasteful number, since it uses less digits than its factorization.

6664768452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307123 (or 307096 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 6664768452000 in words is "six trillion, six hundred sixty-four billion, seven hundred sixty-eight million, four hundred fifty-two thousand".