4626936000 has 448 divisors, whose sum is σ = 17548677120. Its totient is φ = 1192320000.

The previous prime is 4626935953. The next prime is 4626936001. The reversal of 4626936000 is 6396264.

4626936000 is a `hidden beast` number, since 46 + 2 + 6 + 9 + 3 + 600 + 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 not an unprimeable number, because it can be changed into a prime (4626936001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6695655 + ... + 6696345.

Almost surely, 2^4626936000 is an apocalyptic number.

4626936000 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 4626936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774338560).

4626936000 is an abundant number, since it is smaller than the sum of its proper divisors (12921741120).

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

4626936000 is a wasteful number, since it uses less digits than its factorization.

4626936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4626936000 is about 68021.5848095294. The cubic root of 4626936000 is about 1666.3433684021.

The spelling of 4626936000 in words is "four billion, six hundred twenty-six million, nine hundred thirty-six thousand".