7131678720 has 192 divisors, whose sum is σ = 23098944960. Its totient is φ = 1878196224.

The previous prime is 7131678691. The next prime is 7131678727. The reversal of 7131678720 is 278761317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (7131678727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2548362 + ... + 2551158.

It is an arithmetic number, because the mean of its divisors is an integer number (120307005).

Almost surely, 2^7131678720 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 7131678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549472480).

7131678720 is an abundant number, since it is smaller than the sum of its proper divisors (15967266240).

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

7131678720 is a wasteful number, since it uses less digits than its factorization.

7131678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 7131678720 is about 84449.2671371398. The cubic root of 7131678720 is about 1924.8516190796.

The spelling of 7131678720 in words is "seven billion, one hundred thirty-one million, six hundred seventy-eight thousand, seven hundred twenty".