4751649000 has 512 divisors, whose sum is σ = 19456819200. Its totient is φ = 1049760000.

The previous prime is 4751648981. The next prime is 4751649041. The reversal of 4751649000 is 9461574.

4751649000 is a `hidden beast` number, since 4 + 7 + 5 + 1 + 649 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5858595 + ... + 5859405.

It is an arithmetic number, because the mean of its divisors is an integer number (38001600).

Almost surely, 2^4751649000 is an apocalyptic number.

4751649000 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 4751649000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9728409600).

4751649000 is an abundant number, since it is smaller than the sum of its proper divisors (14705170200).

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

4751649000 is a wasteful number, since it uses less digits than its factorization.

4751649000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 859 counting only the distinct ones).

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

The square root of 4751649000 is about 68932.2058257242. The cubic root of 4751649000 is about 1681.1822036112.

The spelling of 4751649000 in words is "four billion, seven hundred fifty-one million, six hundred forty-nine thousand".