7827342336 has 440 divisors, whose sum is σ = 26678862144. Its totient is φ = 2262712320.

The previous prime is 7827342287. The next prime is 7827342337. The reversal of 7827342336 is 6332437287.

7827342336 is a `hidden beast` number, since 7 + 8 + 273 + 42 + 336 = 666.

It is a super-2 number, since 2×7827342336² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7827342291 and 7827342300.

It is not an unprimeable number, because it can be changed into a prime (7827342337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20984646 + ... + 20985018.

Almost surely, 2^7827342336 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 7827342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13339431072).

7827342336 is an abundant number, since it is smaller than the sum of its proper divisors (18851519808).

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

7827342336 is a wasteful number, since it uses less digits than its factorization.

7827342336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 412 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 7827342336 is about 88472.2687399843. The cubic root of 7827342336 is about 1985.5070928337.

The spelling of 7827342336 in words is "seven billion, eight hundred twenty-seven million, three hundred forty-two thousand, three hundred thirty-six".