7820911896864 has 576 divisors, whose sum is σ = 25103219089536. Its totient is φ = 2105769984000.

The previous prime is 7820911896859. The next prime is 7820911896877. The reversal of 7820911896864 is 4686981190287.

It is a super-2 number, since 2×7820911896864² (a number of 27 digits) contains 22 as substring.

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, 707321224 + ... + 707332280.

It is an arithmetic number, because the mean of its divisors is an integer number (43581977586).

Almost surely, 2^{7820911896864} 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 7820911896864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551609544768).

7820911896864 is an abundant number, since it is smaller than the sum of its proper divisors (17282307192672).

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

7820911896864 is a wasteful number, since it uses less digits than its factorization.

7820911896864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11201 (or 11162 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 69.

The spelling of 7820911896864 in words is "seven trillion, eight hundred twenty billion, nine hundred eleven million, eight hundred ninety-six thousand, eight hundred sixty-four".