66075311577630 has 128 divisors (see below), whose sum is σ = 174228848640000. Its totient is φ = 15962902775424.

The previous prime is 66075311577571. The next prime is 66075311577631. The reversal of 66075311577630 is 3677511357066.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66075311577631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51372121 + ... + 52642619.

It is an arithmetic number, because the mean of its divisors is an integer number (1361162880000).

Almost surely, 2^{66075311577630} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66075311577630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87114424320000).

66075311577630 is an abundant number, since it is smaller than the sum of its proper divisors (108153537062370).

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

66075311577630 is a wasteful number, since it uses less digits than its factorization.

66075311577630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274518.

The product of its (nonzero) digits is 16669800, while the sum is 57.

The spelling of 66075311577630 in words is "sixty-six trillion, seventy-five billion, three hundred eleven million, five hundred seventy-seven thousand, six hundred thirty".