4351925760 has 480 divisors, whose sum is σ = 17253181440. Its totient is φ = 916291584.

The previous prime is 4351925723. The next prime is 4351925779. The reversal of 4351925760 is 675291534.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9085201 + ... + 9085679.

It is an arithmetic number, because the mean of its divisors is an integer number (35944128).

Almost surely, 2^4351925760 is an apocalyptic number.

4351925760 is a gapful number since it is divisible by the number (40) 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 4351925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626590720).

4351925760 is an abundant number, since it is smaller than the sum of its proper divisors (12901255680).

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

4351925760 is a wasteful number, since it uses less digits than its factorization.

4351925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 4351925760 is about 65969.1273248328. The cubic root of 4351925760 is about 1632.6527569496.

The spelling of 4351925760 in words is "four billion, three hundred fifty-one million, nine hundred twenty-five thousand, seven hundred sixty".