3766261564601 has 8 divisors (see below), whose sum is σ = 3869051140584. Its totient is φ = 3663992442880.

The previous prime is 3766261564537. The next prime is 3766261564603. The reversal of 3766261564601 is 1064651626673.

It can be written as a sum of positive squares in 4 ways, for example, as 510488815225 + 3255772749376 = 714485^2 + 1804376^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3766261564601 - 2⁶ = 3766261564537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3766261564603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130098896 + ... + 130127841.

It is an arithmetic number, because the mean of its divisors is an integer number (483631392573).

Almost surely, 2^{3766261564601} is an apocalyptic number.

It is an amenable number.

3766261564601 is a deficient number, since it is larger than the sum of its proper divisors (102789575983).

3766261564601 is a wasteful number, since it uses less digits than its factorization.

3766261564601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260227131.

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 3766261564601 in words is "three trillion, seven hundred sixty-six billion, two hundred sixty-one million, five hundred sixty-four thousand, six hundred one".