4950363600 has 1200 divisors, whose sum is σ = 23129686272. Its totient is φ = 985374720.

The previous prime is 4950363599. The next prime is 4950363631. The reversal of 4950363600 is 63630594.

4950363600 is a `hidden beast` number, since 49 + 5 + 0 + 3 + 6 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 67813164 + ... + 67813236.

Almost surely, 2^4950363600 is an apocalyptic number.

4950363600 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 4950363600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11564843136).

4950363600 is an abundant number, since it is smaller than the sum of its proper divisors (18179322672).

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

4950363600 is a wasteful number, since it uses less digits than its factorization.

4950363600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 4950363600 is about 70358.8203425839. The cubic root of 4950363600 is about 1704.2986483095.

The spelling of 4950363600 in words is "four billion, nine hundred fifty million, three hundred sixty-three thousand, six hundred".