4375296000 has 480 divisors, whose sum is σ = 16387010640. Its totient is φ = 1161216000.

The previous prime is 4375295999. The next prime is 4375296007. The reversal of 4375296000 is 6925734.

4375296000 is a `hidden beast` number, since 43 + 7 + 5 + 2 + 9 + 600 + 0 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4375296007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20735895 + ... + 20736105.

Almost surely, 2^4375296000 is an apocalyptic number.

4375296000 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 4375296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193505320).

4375296000 is an abundant number, since it is smaller than the sum of its proper divisors (12011714640).

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

4375296000 is an equidigital number, since it uses as much as digits as its factorization.

4375296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4375296000 is about 66146.0202884497. The cubic root of 4375296000 is about 1635.5700394293.

The spelling of 4375296000 in words is "four billion, three hundred seventy-five million, two hundred ninety-six thousand".