90032001000672 has 48 divisors (see below), whose sum is σ = 241362385673472. Its totient is φ = 29372142168960.

The previous prime is 90032001000577. The next prime is 90032001000703. The reversal of 90032001000672 is 27600010023009.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×90032001000672³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9976945954 + ... + 9976954977.

It is an arithmetic number, because the mean of its divisors is an integer number (5028383034864).

Almost surely, 2^{90032001000672} is an apocalyptic number.

It is an amenable number.

90032001000672 is an abundant number, since it is smaller than the sum of its proper divisors (151330384672800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90032001000672 is a wasteful number, since it uses less digits than its factorization.

90032001000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19953900991 (or 19953900983 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 90032001000672 in words is "ninety trillion, thirty-two billion, one million, six hundred seventy-two", and thus it is an aban number.