4532053680 has 800 divisors, whose sum is σ = 20326699008. Its totient is φ = 908236800.

The previous prime is 4532053667. The next prime is 4532053693. The reversal of 4532053680 is 863502354.

It is a happy number.

4532053680 is a `hidden beast` number, since 45 + 3 + 2 + 0 + 536 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4532053667) and next prime (4532053693).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15467614 + ... + 15467906.

Almost surely, 2^4532053680 is an apocalyptic number.

4532053680 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 4532053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163349504).

4532053680 is an abundant number, since it is smaller than the sum of its proper divisors (15794645328).

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

4532053680 is a wasteful number, since it uses less digits than its factorization.

4532053680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4532053680 is about 67320.5294096830. The cubic root of 4532053680 is about 1654.8743137393.

The spelling of 4532053680 in words is "four billion, five hundred thirty-two million, fifty-three thousand, six hundred eighty".