4933607640192 has 1536 divisors, whose sum is σ = 19046223360000. Its totient is φ = 1246100889600.

The previous prime is 4933607640151. The next prime is 4933607640197. The reversal of 4933607640192 is 2910467063394.

It is a happy number.

4933607640192 is a `hidden beast` number, since 4 + 93 + 3 + 60 + 7 + 6 + 401 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4933607640197) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67583666268 + ... + 67583666340.

It is an arithmetic number, because the mean of its divisors is an integer number (12399885000).

Almost surely, 2^{4933607640192} is an apocalyptic number.

4933607640192 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 4933607640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523111680000).

4933607640192 is an abundant number, since it is smaller than the sum of its proper divisors (14112615719808).

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

4933607640192 is an equidigital number, since it uses as much as digits as its factorization.

4933607640192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 4933607640192 in words is "four trillion, nine hundred thirty-three billion, six hundred seven million, six hundred forty thousand, one hundred ninety-two".