66457061001 has 6 divisors (see below), whose sum is σ = 95993532570. Its totient is φ = 44304707328.

The previous prime is 66457060993. The next prime is 66457061071. The reversal of 66457061001 is 10016075466.

66457061001 is a `hidden beast` number, since 6 + 645 + 7 + 0 + 6 + 1 + 0 + 0 + 1 = 666.

66457061001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 66396920976 + 60140025 = 257676^2 + 7755^2 .

It is not a de Polignac number, because 66457061001 - 2³ = 66457060993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66457061071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3692058936 + ... + 3692058953.

It is an arithmetic number, because the mean of its divisors is an integer number (15998922095).

Almost surely, 2^66457061001 is an apocalyptic number.

It is an amenable number.

66457061001 is a deficient number, since it is larger than the sum of its proper divisors (29536471569).

66457061001 is a wasteful number, since it uses less digits than its factorization.

66457061001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7384117895 (or 7384117892 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 66457061001 in words is "sixty-six billion, four hundred fifty-seven million, sixty-one thousand, one".