7605538483968 has 432 divisors, whose sum is σ = 23943390621696. Its totient is φ = 2312553922560.

The previous prime is 7605538483943. The next prime is 7605538483969. The reversal of 7605538483968 is 8693848355067.

It is a happy number.

7605538483968 is a `hidden beast` number, since 7 + 6 + 0 + 5 + 53 + 8 + 483 + 96 + 8 = 666.

It is a super-2 number, since 2×7605538483968² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7605538483896 and 7605538483905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7605538483969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189592233 + ... + 189632343.

It is an arithmetic number, because the mean of its divisors is an integer number (55424515328).

Almost surely, 2^{7605538483968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7605538483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11971695310848).

7605538483968 is an abundant number, since it is smaller than the sum of its proper divisors (16337852137728).

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

7605538483968 is a wasteful number, since it uses less digits than its factorization.

7605538483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40300 (or 40283 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 7605538483968 in words is "seven trillion, six hundred five billion, five hundred thirty-eight million, four hundred eighty-three thousand, nine hundred sixty-eight".