7471881792 has 84 divisors (see below), whose sum is σ = 21657586860. Its totient is φ = 2462625792.

The previous prime is 7471881763. The next prime is 7471881827. The reversal of 7471881792 is 2971881747.

7471881792 is a `hidden beast` number, since 7 + 471 + 8 + 81 + 7 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2301696576 + 5170185216 = 47976^2 + 71904^2 .

It is a super-2 number, since 2×7471881792² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21613 + ... + 124140.

It is an arithmetic number, because the mean of its divisors is an integer number (257828415).

Almost surely, 2^7471881792 is an apocalyptic number.

7471881792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7471881792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10828793430).

7471881792 is an abundant number, since it is smaller than the sum of its proper divisors (14185705068).

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

7471881792 is a wasteful number, since it uses less digits than its factorization.

7471881792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145860 (or 145847 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 54.

The square root of 7471881792 is about 86440.0473854567. The cubic root of 7471881792 is about 1954.9845557962.

The spelling of 7471881792 in words is "seven billion, four hundred seventy-one million, eight hundred eighty-one thousand, seven hundred ninety-two".