7755449893380 has 252 divisors, whose sum is σ = 28405192728780. Its totient is φ = 1772674098048.

The previous prime is 7755449893379. The next prime is 7755449893463. The reversal of 7755449893380 is 833989445577.

7755449893380 is a `hidden beast` number, since 7 + 7 + 5 + 54 + 498 + 9 + 3 + 3 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5295815997696 + 2459633895684 = 2301264^2 + 1568322^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 7755449893299 and 7755449893308.

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 83 ways as a sum of consecutive naturals, for example, 4713375 + ... + 6142214.

It is an arithmetic number, because the mean of its divisors is an integer number (112719018765).

Almost surely, 2^{7755449893380} is an apocalyptic number.

7755449893380 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7755449893380 is an abundant number, since it is smaller than the sum of its proper divisors (20649742835400).

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

7755449893380 is a wasteful number, since it uses less digits than its factorization.

7755449893380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10855630 (or 10855606 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 7755449893380 in words is "seven trillion, seven hundred fifty-five billion, four hundred forty-nine million, eight hundred ninety-three thousand, three hundred eighty".