90072634728384 has 504 divisors, whose sum is σ = 328764340326240. Its totient is φ = 23074994257920.

The previous prime is 90072634728359. The next prime is 90072634728403. The reversal of 90072634728384 is 48382743627009.

90072634728384 is a `hidden beast` number, since 9 + 0 + 0 + 7 + 2 + 6 + 3 + 472 + 83 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×90072634728384² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34350112 + ... + 36879200.

It is an arithmetic number, because the mean of its divisors is an integer number (652310199060).

Almost surely, 2^{90072634728384} 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 90072634728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164382170163120).

90072634728384 is an abundant number, since it is smaller than the sum of its proper divisors (238691705597856).

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

90072634728384 is a wasteful number, since it uses less digits than its factorization.

90072634728384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529209 (or 2529185 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 90072634728384 in words is "ninety trillion, seventy-two billion, six hundred thirty-four million, seven hundred twenty-eight thousand, three hundred eighty-four".