4758758400 has 528 divisors, whose sum is σ = 17690796288. Its totient is φ = 1118208000.

The previous prime is 4758758387. The next prime is 4758758419. The reversal of 4758758400 is 48578574.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4758758400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36326335 + ... + 36326465.

It is an arithmetic number, because the mean of its divisors is an integer number (33505296).

Almost surely, 2^4758758400 is an apocalyptic number.

4758758400 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 4758758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845398144).

4758758400 is an abundant number, since it is smaller than the sum of its proper divisors (12932037888).

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

4758758400 is a wasteful number, since it uses less digits than its factorization.

4758758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The square root of 4758758400 is about 68983.7546093281. The cubic root of 4758758400 is about 1682.0202453636.

The spelling of 4758758400 in words is "four billion, seven hundred fifty-eight million, seven hundred fifty-eight thousand, four hundred".