7685471381952 has 224 divisors, whose sum is σ = 25108586685952. Its totient is φ = 2020333694976.

The previous prime is 7685471381941. The next prime is 7685471381957. The reversal of 7685471381952 is 2591831745867.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7685471381957) 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 31 ways as a sum of consecutive naturals, for example, 4647498 + ... + 6080310.

It is an arithmetic number, because the mean of its divisors is an integer number (112091904848).

Almost surely, 2^{7685471381952} 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 7685471381952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554293342976).

7685471381952 is an abundant number, since it is smaller than the sum of its proper divisors (17423115304000).

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

7685471381952 is a wasteful number, since it uses less digits than its factorization.

7685471381952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433155 (or 1433145 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 66.

The spelling of 7685471381952 in words is "seven trillion, six hundred eighty-five billion, four hundred seventy-one million, three hundred eighty-one thousand, nine hundred fifty-two".