90832697671680 has 1440 divisors, whose sum is σ = 348415107505920. Its totient is φ = 22621496279040.

The previous prime is 90832697671637. The next prime is 90832697671741. The reversal of 90832697671680 is 8617679623809.

90832697671680 is a `hidden beast` number, since 90 + 8 + 326 + 9 + 76 + 71 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 90832697671599 and 90832697671608.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 47039200315 + ... + 47039202245.

It is an arithmetic number, because the mean of its divisors is an integer number (241954935768).

Almost surely, 2^{90832697671680} is an apocalyptic number.

90832697671680 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 90832697671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174207553752960).

90832697671680 is an abundant number, since it is smaller than the sum of its proper divisors (257582409834240).

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

90832697671680 is a wasteful number, since it uses less digits than its factorization.

90832697671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 90832697671680 in words is "ninety trillion, eight hundred thirty-two billion, six hundred ninety-seven million, six hundred seventy-one thousand, six hundred eighty".