4758807000 has 128 divisors (see below), whose sum is σ = 14898723840. Its totient is φ = 1264636800.

The previous prime is 4758806981. The next prime is 4758807017. The reversal of 4758807000 is 7088574.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4758807000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918417 + ... + 923583.

It is an arithmetic number, because the mean of its divisors is an integer number (116396280).

Almost surely, 2^4758807000 is an apocalyptic number.

4758807000 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 4758807000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449361920).

4758807000 is an abundant number, since it is smaller than the sum of its proper divisors (10139916840).

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

4758807000 is a wasteful number, since it uses less digits than its factorization.

4758807000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 4758807000 is about 68984.1068652773. The cubic root of 4758807000 is about 1682.0259713603.

The spelling of 4758807000 in words is "four billion, seven hundred fifty-eight million, eight hundred seven thousand".