90650780640 has 576 divisors, whose sum is σ = 371141761536. Its totient is φ = 20465436672.

The previous prime is 90650780629. The next prime is 90650780641. The reversal of 90650780640 is 4608705609.

90650780640 is a `hidden beast` number, since 9 + 0 + 6 + 507 + 80 + 64 + 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 not an unprimeable number, because it can be changed into a prime (90650780641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22587274 + ... + 22591286.

It is an arithmetic number, because the mean of its divisors is an integer number (644343336).

Almost surely, 2^90650780640 is an apocalyptic number.

90650780640 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 90650780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185570880768).

90650780640 is an abundant number, since it is smaller than the sum of its proper divisors (280490980896).

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

90650780640 is a wasteful number, since it uses less digits than its factorization.

90650780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 90650780640 in words is "ninety billion, six hundred fifty million, seven hundred eighty thousand, six hundred forty".