7251404160 has 960 divisors, whose sum is σ = 31918627440. Its totient is φ = 1390878720.

The previous prime is 7251404141. The next prime is 7251404161. The reversal of 7251404160 is 614041527.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7251404161) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 557800314 + ... + 557800326.

Almost surely, 2^7251404160 is an apocalyptic number.

7251404160 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 7251404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15959313720).

7251404160 is an abundant number, since it is smaller than the sum of its proper divisors (24667223280).

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

7251404160 is a wasteful number, since it uses less digits than its factorization.

7251404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7251404160 is about 85155.1769418630. The cubic root of 7251404160 is about 1935.5632623663.

Adding to 7251404160 its reverse (614041527), we get a palindrome (7865445687).

The spelling of 7251404160 in words is "seven billion, two hundred fifty-one million, four hundred four thousand, one hundred sixty".