76538349800993 has 2 divisors, whose sum is σ = 76538349800994. Its totient is φ = 76538349800992.

The previous prime is 76538349800971. The next prime is 76538349801031. The reversal of 76538349800993 is 39900894383567.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68731511459809 + 7806838341184 = 8290447^2 + 2794072^2 .

It is a cyclic number.

It is not a de Polignac number, because 76538349800993 - 2⁶ = 76538349800929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 76538349800993.

It is not a weakly prime, because it can be changed into another prime (76538349800923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38269174900496 + 38269174900497.

It is an arithmetic number, because the mean of its divisors is an integer number (38269174900497).

Almost surely, 2^{76538349800993} is an apocalyptic number.

It is an amenable number.

76538349800993 is a deficient number, since it is larger than the sum of its proper divisors (1).

76538349800993 is an equidigital number, since it uses as much as digits as its factorization.

76538349800993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1058158080, while the sum is 74.

The spelling of 76538349800993 in words is "seventy-six trillion, five hundred thirty-eight billion, three hundred forty-nine million, eight hundred thousand, nine hundred ninety-three".