66540379752 has 384 divisors, whose sum is σ = 229372416000. Its totient is φ = 16926174720.

The previous prime is 66540379733. The next prime is 66540379777. The reversal of 66540379752 is 25797304566.

66540379752 is a `hidden beast` number, since 6 + 6 + 540 + 3 + 7 + 97 + 5 + 2 = 666.

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, 60878118 + ... + 60879210.

It is an arithmetic number, because the mean of its divisors is an integer number (597324000).

Almost surely, 2^66540379752 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 66540379752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114686208000).

66540379752 is an abundant number, since it is smaller than the sum of its proper divisors (162832036248).

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

66540379752 is a wasteful number, since it uses less digits than its factorization.

66540379752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 66540379752 in words is "sixty-six billion, five hundred forty million, three hundred seventy-nine thousand, seven hundred fifty-two".