4757003648 has 64 divisors (see below), whose sum is σ = 10047913920. Its totient is φ = 2235555840.

The previous prime is 4757003633. The next prime is 4757003729. The reversal of 4757003648 is 8463007574.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4757003599 and 4757003608.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3004265 + ... + 3005847.

It is an arithmetic number, because the mean of its divisors is an integer number (156998655).

Almost surely, 2^4757003648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4757003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023956960).

4757003648 is an abundant number, since it is smaller than the sum of its proper divisors (5290910272).

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

4757003648 is a wasteful number, since it uses less digits than its factorization.

4757003648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The square root of 4757003648 is about 68971.0348479708. The cubic root of 4757003648 is about 1681.8134763565.

The spelling of 4757003648 in words is "four billion, seven hundred fifty-seven million, three thousand, six hundred forty-eight".