748390085775360 has 1872 divisors, whose sum is σ = 3202800320066256. Its totient is φ = 160612113973248.

The previous prime is 748390085775341. The next prime is 748390085775383. The reversal of 748390085775360 is 63577580093847.

748390085775360 is a `hidden beast` number, since 7 + 4 + 8 + 3 + 9 + 0 + 0 + 85 + 7 + 7 + 536 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1741893156864 + 746648192618496 = 1319808^2 + 27324864^2 .

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

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 143 ways as a sum of consecutive naturals, for example, 66482190852 + ... + 66482202108.

It is an arithmetic number, because the mean of its divisors is an integer number (1710897606873).

Almost surely, 2^{748390085775360} is an apocalyptic number.

748390085775360 is a gapful number since it is divisible by the number (70) 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 748390085775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601400160033128).

748390085775360 is an abundant number, since it is smaller than the sum of its proper divisors (2454410234290896).

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

748390085775360 is a wasteful number, since it uses less digits than its factorization.

748390085775360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11756 (or 11724 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 748390085775360 in words is "seven hundred forty-eight trillion, three hundred ninety billion, eighty-five million, seven hundred seventy-five thousand, three hundred sixty".