4936291200 has 768 divisors, whose sum is σ = 19832064000. Its totient is φ = 1194393600.

The previous prime is 4936291189. The next prime is 4936291223. The reversal of 4936291200 is 21926394.

4936291200 is a `hidden beast` number, since 4 + 9 + 3 + 629 + 1 + 20 + 0 = 666.

It is a super-2 number, since 2×4936291200² = 48733941622394880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50889552 + ... + 50889648.

It is an arithmetic number, because the mean of its divisors is an integer number (25823000).

Almost surely, 2^4936291200 is an apocalyptic number.

4936291200 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 4936291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916032000).

4936291200 is an abundant number, since it is smaller than the sum of its proper divisors (14895772800).

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

4936291200 is a wasteful number, since it uses less digits than its factorization.

4936291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4936291200 is about 70258.7446514667. The cubic root of 4936291200 is about 1702.6821788787.

The spelling of 4936291200 in words is "four billion, nine hundred thirty-six million, two hundred ninety-one thousand, two hundred".