9708090900480 has 960 divisors, whose sum is σ = 39939712028160. Its totient is φ = 2218705551360.

The previous prime is 9708090900451. The next prime is 9708090900509. The reversal of 9708090900480 is 840090908079.

9708090900480 is a `hidden beast` number, since 9 + 70 + 8 + 0 + 9 + 0 + 90 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (9708090900451) and next prime (9708090900509).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254109410 + ... + 1254117150.

It is an arithmetic number, because the mean of its divisors is an integer number (41603866696).

Almost surely, 2^{9708090900480} is an apocalyptic number.

9708090900480 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 9708090900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19969856014080).

9708090900480 is an abundant number, since it is smaller than the sum of its proper divisors (30231621127680).

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

9708090900480 is an frugal number, since it uses more digits than its factorization.

9708090900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7802 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 9708090900480 in words is "nine trillion, seven hundred eight billion, ninety million, nine hundred thousand, four hundred eighty".