90434515680 has 144 divisors (see below), whose sum is σ = 308936300400. Its totient is φ = 24090200064.

The previous prime is 90434515679. The next prime is 90434515723. The reversal of 90434515680 is 8651543409.

90434515680 is a `hidden beast` number, since 9 + 0 + 4 + 34 + 51 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1339371 + ... + 1405269.

It is an arithmetic number, because the mean of its divisors is an integer number (2145390975).

Almost surely, 2^90434515680 is an apocalyptic number.

90434515680 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 90434515680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154468150200).

90434515680 is an abundant number, since it is smaller than the sum of its proper divisors (218501784720).

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

90434515680 is a wasteful number, since it uses less digits than its factorization.

90434515680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66873 (or 66862 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 90434515680 in words is "ninety billion, four hundred thirty-four million, five hundred fifteen thousand, six hundred eighty".