4942933632 has 640 divisors, whose sum is σ = 18799334400. Its totient is φ = 1261578240.

The previous prime is 4942933631. The next prime is 4942933649. The reversal of 4942933632 is 2363392494.

4942933632 is a `hidden beast` number, since 4 + 9 + 4 + 2 + 9 + 3 + 3 + 632 = 666.

It is a super-2 number, since 2×4942933632² = 48865185780713422848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4942933631) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 159449457 + ... + 159449487.

It is an arithmetic number, because the mean of its divisors is an integer number (29373960).

Almost surely, 2^4942933632 is an apocalyptic number.

4942933632 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 4942933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9399667200).

4942933632 is an abundant number, since it is smaller than the sum of its proper divisors (13856400768).

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

4942933632 is an equidigital number, since it uses as much as digits as its factorization.

4942933632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 56 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 4942933632 is about 70305.9999715529. Note that the first 4 decimals coincide. The cubic root of 4942933632 is about 1703.4455645131.

The spelling of 4942933632 in words is "four billion, nine hundred forty-two million, nine hundred thirty-three thousand, six hundred thirty-two".