7821406944 has 72 divisors (see below), whose sum is σ = 23953070232. Its totient is φ = 2406585600.

The previous prime is 7821406913. The next prime is 7821406993. The reversal of 7821406944 is 4496041287.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7821406944² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7821406944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1040782 + ... + 1048269.

It is an arithmetic number, because the mean of its divisors is an integer number (332681531).

Almost surely, 2^7821406944 is an apocalyptic number.

It is an amenable number.

7821406944 is an abundant number, since it is smaller than the sum of its proper divisors (16131663288).

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

7821406944 is a wasteful number, since it uses less digits than its factorization.

7821406944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089080 (or 2089069 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7821406944 is about 88438.7185795905. The cubic root of 7821406944 is about 1985.0051028258.

The spelling of 7821406944 in words is "seven billion, eight hundred twenty-one million, four hundred six thousand, nine hundred forty-four".