90772141567767 has 32 divisors (see below), whose sum is σ = 135838491383040. Its totient is φ = 53449962635520.

The previous prime is 90772141567697. The next prime is 90772141567787. The reversal of 90772141567767 is 76776514127709.

It is not a de Polignac number, because 90772141567767 - 2²⁴ = 90772124790551 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90772141567787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281035792 + ... + 281358597.

It is an arithmetic number, because the mean of its divisors is an integer number (4244952855720).

Almost surely, 2^{90772141567767} is an apocalyptic number.

90772141567767 is a deficient number, since it is larger than the sum of its proper divisors (45066349815273).

90772141567767 is a wasteful number, since it uses less digits than its factorization.

90772141567767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562394543.

The product of its (nonzero) digits is 217818720, while the sum is 69.

The spelling of 90772141567767 in words is "ninety trillion, seven hundred seventy-two billion, one hundred forty-one million, five hundred sixty-seven thousand, seven hundred sixty-seven".