90442317672 has 192 divisors, whose sum is σ = 285613361280. Its totient is φ = 25318365696.

The previous prime is 90442317671. The next prime is 90442317683. The reversal of 90442317672 is 27671324409.

90442317672 is a `hidden beast` number, since 90 + 4 + 423 + 1 + 76 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (90442317671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24225918 + ... + 24229650.

It is an arithmetic number, because the mean of its divisors is an integer number (1487569590).

Almost surely, 2^90442317672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90442317672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142806680640).

90442317672 is an abundant number, since it is smaller than the sum of its proper divisors (195171043608).

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

90442317672 is a wasteful number, since it uses less digits than its factorization.

90442317672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 90442317672 in words is "ninety billion, four hundred forty-two million, three hundred seventeen thousand, six hundred seventy-two".