90675471600 has 960 divisors, whose sum is σ = 388582272000. Its totient is φ = 19643904000.

The previous prime is 90675471589. The next prime is 90675471661. The reversal of 90675471600 is 617457609.

It is a happy number.

90675471600 is a `hidden beast` number, since 90 + 6 + 7 + 547 + 16 + 0 + 0 = 666.

It is a super-2 number, since 2×90675471600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 129351250 + ... + 129351950.

It is an arithmetic number, because the mean of its divisors is an integer number (404773200).

Almost surely, 2^90675471600 is an apocalyptic number.

90675471600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90675471600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194291136000).

90675471600 is an abundant number, since it is smaller than the sum of its proper divisors (297906800400).

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

90675471600 is a wasteful number, since it uses less digits than its factorization.

90675471600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 90675471600 in words is "ninety billion, six hundred seventy-five million, four hundred seventy-one thousand, six hundred".