90766400001 has 16 divisors (see below), whose sum is σ = 122007896064. Its totient is φ = 60018177744.

The previous prime is 90766399957. The next prime is 90766400057. The reversal of 90766400001 is 10000466709.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-90766400001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90766400401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464300 + ... + 1525026.

It is an arithmetic number, because the mean of its divisors is an integer number (7625493504).

Almost surely, 2^90766400001 is an apocalyptic number.

It is an amenable number.

90766400001 is a deficient number, since it is larger than the sum of its proper divisors (31241496063).

90766400001 is a wasteful number, since it uses less digits than its factorization.

90766400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64780.

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 90766400001 in words is "ninety billion, seven hundred sixty-six million, four hundred thousand, one".