7466827992 has 128 divisors (see below), whose sum is σ = 21428789760. Its totient is φ = 2147788800.

The previous prime is 7466827903. The next prime is 7466828011. The reversal of 7466827992 is 2997286647.

It is a super-2 number, since 2×7466827992² (a number of 21 digits) contains 22 as substring.

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, 796243 + ... + 805565.

It is an arithmetic number, because the mean of its divisors is an integer number (167412420).

Almost surely, 2^7466827992 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 7466827992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714394880).

7466827992 is an abundant number, since it is smaller than the sum of its proper divisors (13961961768).

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

7466827992 is a wasteful number, since it uses less digits than its factorization.

7466827992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9513 (or 9509 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The square root of 7466827992 is about 86410.8094627055. The cubic root of 7466827992 is about 1954.5436883051.

The spelling of 7466827992 in words is "seven billion, four hundred sixty-six million, eight hundred twenty-seven thousand, nine hundred ninety-two".