7821467136 has 320 divisors, whose sum is σ = 26704719360. Its totient is φ = 2214051840.

The previous prime is 7821467123. The next prime is 7821467141. The reversal of 7821467136 is 6317641287.

It is a super-2 number, since 2×7821467136² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7821467091 and 7821467100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12676300 + ... + 12676916.

It is an arithmetic number, because the mean of its divisors is an integer number (83452248).

Almost surely, 2^7821467136 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 7821467136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13352359680).

7821467136 is an abundant number, since it is smaller than the sum of its proper divisors (18883252224).

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

7821467136 is a wasteful number, since it uses less digits than its factorization.

7821467136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 760 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7821467136 is about 88439.0588823739. The cubic root of 7821467136 is about 1985.0101948815.

The spelling of 7821467136 in words is "seven billion, eight hundred twenty-one million, four hundred sixty-seven thousand, one hundred thirty-six".