7741606440960 has 2496 divisors, whose sum is σ = 33660213350400. Its totient is φ = 1669475598336.

The previous prime is 7741606440959. The next prime is 7741606440977. The reversal of 7741606440960 is 690446061477.

7741606440960 is a `hidden beast` number, since 7 + 74 + 160 + 6 + 4 + 409 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7741606440897 and 7741606440906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79810375632 + ... + 79810375728.

It is an arithmetic number, because the mean of its divisors is an integer number (13485662400).

Almost surely, 2^{7741606440960} is an apocalyptic number.

7741606440960 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 7741606440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16830106675200).

7741606440960 is an abundant number, since it is smaller than the sum of its proper divisors (25918606909440).

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

7741606440960 is an equidigital number, since it uses as much as digits as its factorization.

7741606440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 7741606440960 in words is "seven trillion, seven hundred forty-one billion, six hundred six million, four hundred forty thousand, nine hundred sixty".