4952683008 has 640 divisors, whose sum is σ = 18772131840. Its totient is φ = 1254113280.

The previous prime is 4952682979. The next prime is 4952683019. The reversal of 4952683008 is 8003862594.

4952683008 is a `hidden beast` number, since 49 + 526 + 83 + 0 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38997441 + ... + 38997567.

It is an arithmetic number, because the mean of its divisors is an integer number (29331456).

Almost surely, 2^4952683008 is an apocalyptic number.

4952683008 is a gapful number since it is divisible by the number (48) 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 4952683008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9386065920).

4952683008 is an abundant number, since it is smaller than the sum of its proper divisors (13819448832).

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

4952683008 is a wasteful number, since it uses less digits than its factorization.

4952683008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4952683008 is about 70375.3011219135. The cubic root of 4952683008 is about 1704.5647800549.

The spelling of 4952683008 in words is "four billion, nine hundred fifty-two million, six hundred eighty-three thousand, eight".