90980067360 has 768 divisors, whose sum is σ = 367490027520. Its totient is φ = 18409144320.

The previous prime is 90980067349. The next prime is 90980067413. The reversal of 90980067360 is 6376008909.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110815750 + ... + 110816570.

It is an arithmetic number, because the mean of its divisors is an integer number (478502640).

Almost surely, 2^90980067360 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 90980067360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183745013760).

90980067360 is an abundant number, since it is smaller than the sum of its proper divisors (276509960160).

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

90980067360 is a wasteful number, since it uses less digits than its factorization.

90980067360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 90980067360 in words is "ninety billion, nine hundred eighty million, sixty-seven thousand, three hundred sixty".