4921675200 has 504 divisors, whose sum is σ = 19191646656. Its totient is φ = 1188864000.

The previous prime is 4921675193. The next prime is 4921675207. The reversal of 4921675200 is 25761294.

4921675200 is a `hidden beast` number, since 492 + 167 + 5 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4921675193) and next prime (4921675207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4921675207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11418985 + ... + 11419415.

It is an arithmetic number, because the mean of its divisors is an integer number (38078664).

Almost surely, 2^4921675200 is an apocalyptic number.

4921675200 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 4921675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9595823328).

4921675200 is an abundant number, since it is smaller than the sum of its proper divisors (14269971456).

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

4921675200 is a wasteful number, since it uses less digits than its factorization.

4921675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4921675200 is about 70154.6520196630. The cubic root of 4921675200 is about 1701.0000114053. Note that the first 4 decimals are identical.

The spelling of 4921675200 in words is "four billion, nine hundred twenty-one million, six hundred seventy-five thousand, two hundred".