90456632280 has 512 divisors, whose sum is σ = 363018240000. Its totient is φ = 20006300160.

The previous prime is 90456632267. The next prime is 90456632291. The reversal of 90456632280 is 8223665409.

90456632280 is a `hidden beast` number, since 9 + 0 + 4 + 5 + 6 + 632 + 2 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 11479702 + ... + 11487578.

It is an arithmetic number, because the mean of its divisors is an integer number (709020000).

Almost surely, 2^90456632280 is an apocalyptic number.

90456632280 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 90456632280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181509120000).

90456632280 is an abundant number, since it is smaller than the sum of its proper divisors (272561607720).

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

90456632280 is a wasteful number, since it uses less digits than its factorization.

90456632280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7949 (or 7925 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 90456632280 in words is "ninety billion, four hundred fifty-six million, six hundred thirty-two thousand, two hundred eighty".