90690598768 has 240 divisors, whose sum is σ = 238471236864. Its totient is φ = 32346501120.

The previous prime is 90690598759. The next prime is 90690598793. The reversal of 90690598768 is 86789509609.

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 47 ways as a sum of consecutive naturals, for example, 28670755 + ... + 28673917.

Almost surely, 2^90690598768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90690598768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119235618432).

90690598768 is an abundant number, since it is smaller than the sum of its proper divisors (147780638096).

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

90690598768 is a wasteful number, since it uses less digits than its factorization.

90690598768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 67.

The spelling of 90690598768 in words is "ninety billion, six hundred ninety million, five hundred ninety-eight thousand, seven hundred sixty-eight".