4632975480 has 192 divisors, whose sum is σ = 16210800000. Its totient is φ = 1056174336.

The previous prime is 4632975469. The next prime is 4632975481. The reversal of 4632975480 is 845792364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4632975481) 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 47 ways as a sum of consecutive naturals, for example, 2933331 + ... + 2934909.

It is an arithmetic number, because the mean of its divisors is an integer number (84431250).

Almost surely, 2^4632975480 is an apocalyptic number.

4632975480 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 4632975480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105400000).

4632975480 is an abundant number, since it is smaller than the sum of its proper divisors (11577824520).

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

4632975480 is a wasteful number, since it uses less digits than its factorization.

4632975480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 4632975480 is about 68065.9641818141. The cubic root of 4632975480 is about 1667.0680720276.

The spelling of 4632975480 in words is "four billion, six hundred thirty-two million, nine hundred seventy-five thousand, four hundred eighty".