7831135680 has 448 divisors, whose sum is σ = 28399362048. Its totient is φ = 1816657920.

The previous prime is 7831135673. The next prime is 7831135733. The reversal of 7831135680 is 865311387.

It is a super-2 number, since 2×7831135680² (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 63 ways as a sum of consecutive naturals, for example, 11635824 + ... + 11636496.

Almost surely, 2^7831135680 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 7831135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14199681024).

7831135680 is an abundant number, since it is smaller than the sum of its proper divisors (20568226368).

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

7831135680 is a wasteful number, since it uses less digits than its factorization.

7831135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 7831135680 is about 88493.7041828400. The cubic root of 7831135680 is about 1985.8277846995.

The spelling of 7831135680 in words is "seven billion, eight hundred thirty-one million, one hundred thirty-five thousand, six hundred eighty".