9050745777480 has 1152 divisors, whose sum is σ = 36190454227200. Its totient is φ = 1947976335360.

The previous prime is 9050745777427. The next prime is 9050745777523. The reversal of 9050745777480 is 847775470509.

9050745777480 is a `hidden beast` number, since 9 + 0 + 50 + 7 + 4 + 577 + 7 + 4 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3615957909 + ... + 3615960411.

It is an arithmetic number, because the mean of its divisors is an integer number (31415324850).

Almost surely, 2^{9050745777480} is an apocalyptic number.

9050745777480 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 9050745777480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18095227113600).

9050745777480 is an abundant number, since it is smaller than the sum of its proper divisors (27139708449720).

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

9050745777480 is a wasteful number, since it uses less digits than its factorization.

9050745777480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

It can be divided in two parts, 9050745 and 777480, that added together give a square (9828225 = 3135²).

The spelling of 9050745777480 in words is "nine trillion, fifty billion, seven hundred forty-five million, seven hundred seventy-seven thousand, four hundred eighty".