66390875324928 has 1920 divisors, whose sum is σ = 256265746513920. Its totient is φ = 16036888412160.

The previous prime is 66390875324909. The next prime is 66390875324953. The reversal of 66390875324928 is 82942357809366.

It is a happy number.

66390875324928 is a `hidden beast` number, since 6 + 6 + 3 + 9 + 0 + 87 + 53 + 2 + 492 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 68656540701 + ... + 68656541667.

It is an arithmetic number, because the mean of its divisors is an integer number (133471742976).

Almost surely, 2^{66390875324928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66390875324928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128132873256960).

66390875324928 is an abundant number, since it is smaller than the sum of its proper divisors (189874871188992).

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

66390875324928 is a wasteful number, since it uses less digits than its factorization.

66390875324928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 66390875324928 in words is "sixty-six trillion, three hundred ninety billion, eight hundred seventy-five million, three hundred twenty-four thousand, nine hundred twenty-eight".