90344769666480 has 1920 divisors, whose sum is σ = 387539367321600. Its totient is φ = 19243482660864.

The previous prime is 90344769666427. The next prime is 90344769666491. The reversal of 90344769666480 is 8466696744309.

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 = 90344769666399 and 90344769666408.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26658236626 + ... + 26658240014.

It is an arithmetic number, because the mean of its divisors is an integer number (201843420480).

Almost surely, 2^{90344769666480} is an apocalyptic number.

90344769666480 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 90344769666480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193769683660800).

90344769666480 is an abundant number, since it is smaller than the sum of its proper divisors (297194597655120).

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

90344769666480 is a wasteful number, since it uses less digits than its factorization.

90344769666480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 90344769666480 in words is "ninety trillion, three hundred forty-four billion, seven hundred sixty-nine million, six hundred sixty-six thousand, four hundred eighty".