4935621600 has 1152 divisors, whose sum is σ = 22958530560. Its totient is φ = 1007769600.

The previous prime is 4935621557. The next prime is 4935621619. The reversal of 4935621600 is 61265394.

It is a happy number.

4935621600 is a `hidden beast` number, since 4 + 93 + 562 + 1 + 6 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159213585 + ... + 159213615.

It is an arithmetic number, because the mean of its divisors is an integer number (19929280).

Almost surely, 2^4935621600 is an apocalyptic number.

4935621600 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 4935621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479265280).

4935621600 is an abundant number, since it is smaller than the sum of its proper divisors (18022908960).

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

4935621600 is a wasteful number, since it uses less digits than its factorization.

4935621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4935621600 is about 70253.9792467302. The cubic root of 4935621600 is about 1702.6051866932.

Adding to 4935621600 its reverse (61265394), we get a palindrome (4996886994).

The spelling of 4935621600 in words is "four billion, nine hundred thirty-five million, six hundred twenty-one thousand, six hundred".