90676599552 has 1440 divisors, whose sum is σ = 368018112000. Its totient is φ = 21946982400.

The previous prime is 90676599529. The next prime is 90676599553. The reversal of 90676599552 is 25599567609.

90676599552 is a `hidden beast` number, since 9 + 0 + 6 + 76 + 5 + 9 + 9 + 552 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90676599552.

It is not an unprimeable number, because it can be changed into a prime (90676599553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1486501602 + ... + 1486501662.

Almost surely, 2^90676599552 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 90676599552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184009056000).

90676599552 is an abundant number, since it is smaller than the sum of its proper divisors (277341512448).

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

90676599552 is a wasteful number, since it uses less digits than its factorization.

90676599552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 45927000, while the sum is 63.

The spelling of 90676599552 in words is "ninety billion, six hundred seventy-six million, five hundred ninety-nine thousand, five hundred fifty-two".