7752471906816 has 960 divisors, whose sum is σ = 28213881696000. Its totient is φ = 2036289798144.

The previous prime is 7752471906793. The next prime is 7752471906821. The reversal of 7752471906816 is 6186091742577.

7752471906816 is a `hidden beast` number, since 7 + 7 + 5 + 2 + 471 + 90 + 68 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6307950490 + ... + 6307951718.

It is an arithmetic number, because the mean of its divisors is an integer number (29389460100).

Almost surely, 2^{7752471906816} 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 7752471906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106940848000).

7752471906816 is an abundant number, since it is smaller than the sum of its proper divisors (20461409789184).

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

7752471906816 is a wasteful number, since it uses less digits than its factorization.

7752471906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 7752471906816 in words is "seven trillion, seven hundred fifty-two billion, four hundred seventy-one million, nine hundred six thousand, eight hundred sixteen".