90761863629 has 32 divisors (see below), whose sum is σ = 130937627520. Its totient is φ = 55743787008.

The previous prime is 90761863603. The next prime is 90761863649. The reversal of 90761863629 is 92636816709.

It is a happy number.

It is not a de Polignac number, because 90761863629 - 2²⁰ = 90760815053 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90761863649) 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, 208437 + ... + 474309.

It is an arithmetic number, because the mean of its divisors is an integer number (4091800860).

Almost surely, 2^90761863629 is an apocalyptic number.

It is an amenable number.

90761863629 is a deficient number, since it is larger than the sum of its proper divisors (40175763891).

90761863629 is a wasteful number, since it uses less digits than its factorization.

90761863629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266061.

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 90761863629 in words is "ninety billion, seven hundred sixty-one million, eight hundred sixty-three thousand, six hundred twenty-nine".