4375987200 has 528 divisors, whose sum is σ = 17341528960. Its totient is φ = 1074954240.

The previous prime is 4375987193. The next prime is 4375987243. The reversal of 4375987200 is 27895734.

4375987200 is a `hidden beast` number, since 4 + 37 + 598 + 7 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8985357 + ... + 8985843.

Almost surely, 2^4375987200 is an apocalyptic number.

4375987200 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 4375987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8670764480).

4375987200 is an abundant number, since it is smaller than the sum of its proper divisors (12965541760).

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

4375987200 is a wasteful number, since it uses less digits than its factorization.

4375987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 4375987200 is about 66151.2448862453. The cubic root of 4375987200 is about 1635.6561628584.

The spelling of 4375987200 in words is "four billion, three hundred seventy-five million, nine hundred eighty-seven thousand, two hundred".