7643526998016 has 768 divisors, whose sum is σ = 25611044659200. Its totient is φ = 1973669068800.

The previous prime is 7643526997973. The next prime is 7643526998021. The reversal of 7643526998016 is 6108996253467.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 5786166636 + ... + 5786167956.

It is an arithmetic number, because the mean of its divisors is an integer number (33347714400).

It is a 1-persistent number, because it is pandigital, but 2⋅7643526998016 = 15287053996032 is not.

Almost surely, 2^{7643526998016} 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 7643526998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12805522329600).

7643526998016 is an abundant number, since it is smaller than the sum of its proper divisors (17967517661184).

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

7643526998016 is a wasteful number, since it uses less digits than its factorization.

7643526998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 7643526998016 in words is "seven trillion, six hundred forty-three billion, five hundred twenty-six million, nine hundred ninety-eight thousand, sixteen".