4932648000 has 336 divisors, whose sum is σ = 20167665024. Its totient is φ = 1127347200.

The previous prime is 4932647983. The next prime is 4932648037. The reversal of 4932648000 is 8462394.

It is a happy number.

4932648000 is a `hidden beast` number, since 4 + 9 + 3 + 2 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 499107 + ... + 508893.

Almost surely, 2^4932648000 is an apocalyptic number.

4932648000 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 4932648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083832512).

4932648000 is an abundant number, since it is smaller than the sum of its proper divisors (15235017024).

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

4932648000 is a wasteful number, since it uses less digits than its factorization.

4932648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9827 (or 9804 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4932648000 is about 70232.8128441400. The cubic root of 4932648000 is about 1702.2631910077.

It can be divided in two parts, 493264 and 8000, that added together give a square (501264 = 708²).

The spelling of 4932648000 in words is "four billion, nine hundred thirty-two million, six hundred forty-eight thousand".