4966032000 has 256 divisors, whose sum is σ = 16565028480. Its totient is φ = 1316044800.

The previous prime is 4966031977. The next prime is 4966032041. The reversal of 4966032000 is 2306694.

It is a super-2 number, since 2×4966032000² = 49322947650048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14735832 + ... + 14736168.

Almost surely, 2^4966032000 is an apocalyptic number.

4966032000 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 4966032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8282514240).

4966032000 is an abundant number, since it is smaller than the sum of its proper divisors (11598996480).

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

4966032000 is a wasteful number, since it uses less digits than its factorization.

4966032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 4966032000 is about 70470.0787568738. The cubic root of 4966032000 is about 1706.0948469528.

Adding to 4966032000 its reverse (2306694), we get a palindrome (4968338694).

The spelling of 4966032000 in words is "four billion, nine hundred sixty-six million, thirty-two thousand".