90776560877640 has 1280 divisors, whose sum is σ = 359885945548800. Its totient is φ = 20290401331200.

The previous prime is 90776560877627. The next prime is 90776560877659. The reversal of 90776560877640 is 4677806567709.

It is a happy number.

90776560877640 is a `hidden beast` number, since 9 + 0 + 7 + 7 + 6 + 5 + 608 + 7 + 7 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 16236191245 + ... + 16236196835.

It is an arithmetic number, because the mean of its divisors is an integer number (281160894960).

Almost surely, 2^{90776560877640} is an apocalyptic number.

90776560877640 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 90776560877640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179942972774400).

90776560877640 is an abundant number, since it is smaller than the sum of its proper divisors (269109384671160).

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

90776560877640 is a wasteful number, since it uses less digits than its factorization.

90776560877640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 72.

The spelling of 90776560877640 in words is "ninety trillion, seven hundred seventy-six billion, five hundred sixty million, eight hundred seventy-seven thousand, six hundred forty".