4933660032 has 576 divisors, whose sum is σ = 18074440800. Its totient is φ = 1263403008.

The previous prime is 4933660009. The next prime is 4933660079. The reversal of 4933660032 is 2300663394.

4933660032 is a `hidden beast` number, since 49 + 3 + 3 + 6 + 600 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4933660032² = 48682002622708482048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67584348 + ... + 67584420.

Almost surely, 2^4933660032 is an apocalyptic number.

4933660032 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 4933660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037220400).

4933660032 is an abundant number, since it is smaller than the sum of its proper divisors (13140780768).

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

4933660032 is a wasteful number, since it uses less digits than its factorization.

4933660032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 4933660032 is about 70240.0173120708. The cubic root of 4933660032 is about 1702.3796008966.

The spelling of 4933660032 in words is "four billion, nine hundred thirty-three million, six hundred sixty thousand, thirty-two".