7867571712 has 960 divisors, whose sum is σ = 31034513664. Its totient is φ = 1734082560.

The previous prime is 7867571711. The next prime is 7867571741. The reversal of 7867571712 is 2171757687.

It is a super-2 number, since 2×7867571712² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (1152480) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7867571711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182966763 + ... + 182966805.

Almost surely, 2^7867571712 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 7867571712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15517256832).

7867571712 is an abundant number, since it is smaller than the sum of its proper divisors (23166941952).

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

7867571712 is a wasteful number, since it uses less digits than its factorization.

7867571712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its digits is 1152480, while the sum is 51.

The square root of 7867571712 is about 88699.3332105715. Note that the first 3 decimals coincide. The cubic root of 7867571712 is about 1988.9028498440.

The spelling of 7867571712 in words is "seven billion, eight hundred sixty-seven million, five hundred seventy-one thousand, seven hundred twelve".