7031681440 has 192 divisors, whose sum is σ = 20977657344. Its totient is φ = 2170257408.

The previous prime is 7031681429. The next prime is 7031681441. The reversal of 7031681440 is 441861307.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 7031681396 and 7031681405.

It is not an unprimeable number, because it can be changed into a prime (7031681441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429892 + ... + 445948.

It is an arithmetic number, because the mean of its divisors is an integer number (109258632).

Almost surely, 2^7031681440 is an apocalyptic number.

7031681440 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 7031681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488828672).

7031681440 is an abundant number, since it is smaller than the sum of its proper divisors (13945975904).

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

7031681440 is a wasteful number, since it uses less digits than its factorization.

7031681440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16119 (or 16111 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 7031681440 is about 83855.1217278945. The cubic root of 7031681440 is about 1915.8127643652.

The spelling of 7031681440 in words is "seven billion, thirty-one million, six hundred eighty-one thousand, four hundred forty".