4758471564 has 192 divisors, whose sum is σ = 15295537152. Its totient is φ = 1112601600.

The previous prime is 4758471563. The next prime is 4758471611. The reversal of 4758471564 is 4651748574.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4758471563) 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, 354699 + ... + 367869.

It is an arithmetic number, because the mean of its divisors is an integer number (79664256).

Almost surely, 2^4758471564 is an apocalyptic number.

4758471564 is a gapful number since it is divisible by the number (44) 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 4758471564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7647768576).

4758471564 is an abundant number, since it is smaller than the sum of its proper divisors (10537065588).

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

4758471564 is a wasteful number, since it uses less digits than its factorization.

4758471564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13236 (or 13234 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 51.

The square root of 4758471564 is about 68981.6755667764. The cubic root of 4758471564 is about 1681.9864498780.

The spelling of 4758471564 in words is "four billion, seven hundred fifty-eight million, four hundred seventy-one thousand, five hundred sixty-four".