90420180642 has 48 divisors (see below), whose sum is σ = 219496672512. Its totient is φ = 26659510560.

The previous prime is 90420180637. The next prime is 90420180659. The reversal of 90420180642 is 24608102409.

90420180642 is a `hidden beast` number, since 9 + 0 + 4 + 2 + 0 + 1 + 8 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90420180597 and 90420180606.

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 23 ways as a sum of consecutive naturals, for example, 6163858 + ... + 6178509.

It is an arithmetic number, because the mean of its divisors is an integer number (4572847344).

Almost surely, 2^90420180642 is an apocalyptic number.

90420180642 is an abundant number, since it is smaller than the sum of its proper divisors (129076491870).

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

90420180642 is a wasteful number, since it uses less digits than its factorization.

90420180642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12342423 (or 12342420 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 90420180642 in words is "ninety billion, four hundred twenty million, one hundred eighty thousand, six hundred forty-two".