7031457972 has 288 divisors, whose sum is σ = 23926855680. Its totient is φ = 1686263040.

The previous prime is 7031457967. The next prime is 7031457973. The reversal of 7031457972 is 2797541307.

7031457972 is a `hidden beast` number, since 7 + 0 + 3 + 1 + 4 + 579 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7031457973) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1847023 + ... + 1850825.

It is an arithmetic number, because the mean of its divisors is an integer number (83079360).

Almost surely, 2^7031457972 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 7031457972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11963427840).

7031457972 is an abundant number, since it is smaller than the sum of its proper divisors (16895397708).

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

7031457972 is a wasteful number, since it uses less digits than its factorization.

7031457972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 7031457972 is about 83853.7892524840. The cubic root of 7031457972 is about 1915.7924692012.

It can be divided in two parts, 703145 and 7972, that added together give a palindrome (711117).

The spelling of 7031457972 in words is "seven billion, thirty-one million, four hundred fifty-seven thousand, nine hundred seventy-two".