7932554436864 has 288 divisors, whose sum is σ = 22128623161344. Its totient is φ = 2517936537600.

The previous prime is 7932554436817. The next prime is 7932554436899. The reversal of 7932554436864 is 4686344552397.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7932554436795 and 7932554436804.

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 31 ways as a sum of consecutive naturals, for example, 5574528057 + ... + 5574529479.

It is an arithmetic number, because the mean of its divisors is an integer number (76835497088).

Almost surely, 2^{7932554436864} 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 7932554436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064311580672).

7932554436864 is an abundant number, since it is smaller than the sum of its proper divisors (14196068724480).

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

7932554436864 is a wasteful number, since it uses less digits than its factorization.

7932554436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2639 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 66.

The spelling of 7932554436864 in words is "seven trillion, nine hundred thirty-two billion, five hundred fifty-four million, four hundred thirty-six thousand, eight hundred sixty-four".