90675486720 has 1792 divisors, whose sum is σ = 428044538880. Its totient is φ = 17666408448.

The previous prime is 90675486719. The next prime is 90675486751. The reversal of 90675486720 is 2768457609.

90675486720 is a `hidden beast` number, since 90 + 6 + 7 + 5 + 486 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1710858214 + ... + 1710858266.

It is an arithmetic number, because the mean of its divisors is an integer number (238864140).

Almost surely, 2^90675486720 is an apocalyptic number.

90675486720 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 90675486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214022269440).

90675486720 is an abundant number, since it is smaller than the sum of its proper divisors (337369052160).

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

90675486720 is a wasteful number, since it uses less digits than its factorization.

90675486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 90675486720 in words is "ninety billion, six hundred seventy-five million, four hundred eighty-six thousand, seven hundred twenty".