90654474240 has 1024 divisors, whose sum is σ = 371441894400. Its totient is φ = 21021327360.

The previous prime is 90654474167. The next prime is 90654474257. The reversal of 90654474240 is 4247445609.

90654474240 is a `hidden beast` number, since 90 + 6 + 54 + 474 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3941498869 + ... + 3941498891.

It is an arithmetic number, because the mean of its divisors is an integer number (362736225).

Almost surely, 2^90654474240 is an apocalyptic number.

90654474240 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 90654474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185720947200).

90654474240 is an abundant number, since it is smaller than the sum of its proper divisors (280787420160).

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

90654474240 is an frugal number, since it uses more digits than its factorization.

90654474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 90654474240 in words is "ninety billion, six hundred fifty-four million, four hundred seventy-four thousand, two hundred forty".