4932576000 has 720 divisors, whose sum is σ = 20140087968. Its totient is φ = 1188864000.

The previous prime is 4932575953. The next prime is 4932576001. The reversal of 4932576000 is 6752394.

4932576000 is a `hidden beast` number, since 49 + 3 + 2 + 5 + 7 + 600 + 0 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (4932576001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28511914 + ... + 28512086.

Almost surely, 2^4932576000 is an apocalyptic number.

4932576000 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 4932576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10070043984).

4932576000 is an abundant number, since it is smaller than the sum of its proper divisors (15207511968).

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

4932576000 is a wasteful number, since it uses less digits than its factorization.

4932576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 194 counting only the distinct ones).

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

The square root of 4932576000 is about 70232.3002613470. The cubic root of 4932576000 is about 1702.2549085364.

The spelling of 4932576000 in words is "four billion, nine hundred thirty-two million, five hundred seventy-six thousand".