7131559680 has 576 divisors, whose sum is σ = 29669068800. Its totient is φ = 1588101120.

The previous prime is 7131559667. The next prime is 7131559691. The reversal of 7131559680 is 869551317.

It is a happy number.

7131559680 is a `hidden beast` number, since 7 + 1 + 31 + 559 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 9918361 + ... + 9919079.

It is an arithmetic number, because the mean of its divisors is an integer number (51508800).

Almost surely, 2^7131559680 is an apocalyptic number.

7131559680 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 7131559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14834534400).

7131559680 is an abundant number, since it is smaller than the sum of its proper divisors (22537509120).

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

7131559680 is a wasteful number, since it uses less digits than its factorization.

7131559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 7131559680 is about 84448.5623323452. The cubic root of 7131559680 is about 1924.8409093239.

The spelling of 7131559680 in words is "seven billion, one hundred thirty-one million, five hundred fifty-nine thousand, six hundred eighty".