4764601632 has 288 divisors, whose sum is σ = 15357988800. Its totient is φ = 1287616512.

The previous prime is 4764601631. The next prime is 4764601669. The reversal of 4764601632 is 2361064674.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4764601631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7229719 + ... + 7230377.

It is an arithmetic number, because the mean of its divisors is an integer number (53326350).

Almost surely, 2^4764601632 is an apocalyptic number.

4764601632 is a gapful number since it is divisible by the number (42) 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 4764601632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678994400).

4764601632 is an abundant number, since it is smaller than the sum of its proper divisors (10593387168).

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

4764601632 is a wasteful number, since it uses less digits than its factorization.

4764601632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 4764601632 is about 69026.0938486309. The cubic root of 4764601632 is about 1682.7084090744.

The spelling of 4764601632 in words is "four billion, seven hundred sixty-four million, six hundred one thousand, six hundred thirty-two".