7827142016 has 64 divisors (see below), whose sum is σ = 15907104000. Its totient is φ = 3835193856.

The previous prime is 7827142003. The next prime is 7827142019. The reversal of 7827142016 is 6102417287.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7827142016² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7827142019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2709725 + ... + 2712611.

It is an arithmetic number, because the mean of its divisors is an integer number (248548500).

Almost surely, 2^7827142016 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 7827142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953552000).

7827142016 is an abundant number, since it is smaller than the sum of its proper divisors (8079961984).

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

7827142016 is a wasteful number, since it uses less digits than its factorization.

7827142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 7827142016 is about 88471.1366265857. The cubic root of 7827142016 is about 1985.4901547656.

The spelling of 7827142016 in words is "seven billion, eight hundred twenty-seven million, one hundred forty-two thousand, sixteen".