73664777563001 has 2 divisors, whose sum is σ = 73664777563002. Its totient is φ = 73664777563000.

The previous prime is 73664777562989. The next prime is 73664777563133. The reversal of 73664777563001 is 10036577746637.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73652869515625 + 11908047376 = 8582125^2 + 109124^2 .

It is a cyclic number.

It is not a de Polignac number, because 73664777563001 - 2⁴² = 69266731051897 is a prime.

It is not a weakly prime, because it can be changed into another prime (73664777563901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36832388781500 + 36832388781501.

It is an arithmetic number, because the mean of its divisors is an integer number (36832388781501).

Almost surely, 2^{73664777563001} is an apocalyptic number.

It is an amenable number.

73664777563001 is a deficient number, since it is larger than the sum of its proper divisors (1).

73664777563001 is an equidigital number, since it uses as much as digits as its factorization.

73664777563001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93350880, while the sum is 62.

The spelling of 73664777563001 in words is "seventy-three trillion, six hundred sixty-four billion, seven hundred seventy-seven million, five hundred sixty-three thousand, one".