3764591640001 has 2 divisors, whose sum is σ = 3764591640002. Its totient is φ = 3764591640000.

The previous prime is 3764591639971. The next prime is 3764591640023. The reversal of 3764591640001 is 1000461954673.

3764591640001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2769974376976 + 994617263025 = 1664324^2 + 997305^2 .

It is a cyclic number.

It is not a de Polignac number, because 3764591640001 - 2³³ = 3756001705409 is a prime.

It is not a weakly prime, because it can be changed into another prime (3764591640301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1882295820000 + 1882295820001.

It is an arithmetic number, because the mean of its divisors is an integer number (1882295820001).

Almost surely, 2^{3764591640001} is an apocalyptic number.

It is an amenable number.

3764591640001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3764591640001 is an equidigital number, since it uses as much as digits as its factorization.

3764591640001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 3764591640001 in words is "three trillion, seven hundred sixty-four billion, five hundred ninety-one million, six hundred forty thousand, one".