7131884760 has 768 divisors, whose sum is σ = 32317608960. Its totient is φ = 1366087680.

The previous prime is 7131884759. The next prime is 7131884789. The reversal of 7131884760 is 674881317.

7131884760 is a `hidden beast` number, since 71 + 31 + 88 + 476 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9729354 + ... + 9730086.

It is an arithmetic number, because the mean of its divisors is an integer number (42080220).

Almost surely, 2^7131884760 is an apocalyptic number.

7131884760 is a gapful number since it is divisible by the number (70) 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 7131884760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158804480).

7131884760 is an abundant number, since it is smaller than the sum of its proper divisors (25185724200).

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

7131884760 is a wasteful number, since it uses less digits than its factorization.

7131884760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7131884760 is about 84450.4870323434. The cubic root of 7131884760 is about 1924.8701557442.

The spelling of 7131884760 in words is "seven billion, one hundred thirty-one million, eight hundred eighty-four thousand, seven hundred sixty".