7861938642560 has 128 divisors (see below), whose sum is σ = 19199176113600. Its totient is φ = 3077848047616.

The previous prime is 7861938642499. The next prime is 7861938642583. The reversal of 7861938642560 is 652468391687.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4992236 + ... + 6375444.

It is a 1-persistent number, because it is pandigital, but 2⋅7861938642560 = 15723877285120 is not.

Almost surely, 2^{7861938642560} 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 7861938642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9599588056800).

7861938642560 is an abundant number, since it is smaller than the sum of its proper divisors (11337237471040).

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

7861938642560 is a wasteful number, since it uses less digits than its factorization.

7861938642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383418 (or 1383406 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 65.

The spelling of 7861938642560 in words is "seven trillion, eight hundred sixty-one billion, nine hundred thirty-eight million, six hundred forty-two thousand, five hundred sixty".