4532214960 has 720 divisors, whose sum is σ = 20007808704. Its totient is φ = 897122304.

The previous prime is 4532214959. The next prime is 4532214997. The reversal of 4532214960 is 694122354.

It is a happy number.

4532214960 is a `hidden beast` number, since 4 + 532 + 21 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14479764 + ... + 14480076.

Almost surely, 2^4532214960 is an apocalyptic number.

4532214960 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 4532214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10003904352).

4532214960 is an abundant number, since it is smaller than the sum of its proper divisors (15475593744).

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

4532214960 is a wasteful number, since it uses less digits than its factorization.

4532214960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4532214960 is about 67321.7272505690. The cubic root of 4532214960 is about 1654.8939439101.

The spelling of 4532214960 in words is "four billion, five hundred thirty-two million, two hundred fourteen thousand, nine hundred sixty".