4532001600 has 672 divisors, whose sum is σ = 18544844800. Its totient is φ = 945561600.

The previous prime is 4532001589. The next prime is 4532001613. The reversal of 4532001600 is 61002354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19790286 + ... + 19790514.

Almost surely, 2^4532001600 is an apocalyptic number.

4532001600 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 4532001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9272422400).

4532001600 is an abundant number, since it is smaller than the sum of its proper divisors (14012843200).

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

4532001600 is a wasteful number, since it uses less digits than its factorization.

4532001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4532001600 is about 67320.1426023445. The cubic root of 4532001600 is about 1654.8679747305.

Adding to 4532001600 its reverse (61002354), we get a palindrome (4593003954).

The spelling of 4532001600 in words is "four billion, five hundred thirty-two million, one thousand, six hundred".