7965802690560 has 1536 divisors, whose sum is σ = 33579492710400. Its totient is φ = 1765791498240.

The previous prime is 7965802690481. The next prime is 7965802690579. The reversal of 7965802690560 is 650962085697.

7965802690560 is a `hidden beast` number, since 7 + 9 + 6 + 5 + 8 + 0 + 2 + 69 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×7965802690560² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4467639429 + ... + 4467641211.

It is an arithmetic number, because the mean of its divisors is an integer number (21861648900).

Almost surely, 2^{7965802690560} 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 7965802690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16789746355200).

7965802690560 is an abundant number, since it is smaller than the sum of its proper divisors (25613690019840).

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

7965802690560 is a wasteful number, since it uses less digits than its factorization.

7965802690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 7965802690560 in words is "seven trillion, nine hundred sixty-five billion, eight hundred two million, six hundred ninety thousand, five hundred sixty".