4993436520 has 192 divisors, whose sum is σ = 17420242320. Its totient is φ = 1235976192.

The previous prime is 4993436477. The next prime is 4993436521. The reversal of 4993436520 is 256343994.

4993436520 is a `hidden beast` number, since 4 + 9 + 93 + 4 + 36 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3998538756 + 994897764 = 63234^2 + 31542^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4993436521) 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, 441172 + ... + 452348.

Almost surely, 2^4993436520 is an apocalyptic number.

4993436520 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 4993436520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8710121160).

4993436520 is an abundant number, since it is smaller than the sum of its proper divisors (12426805800).

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

4993436520 is a wasteful number, since it uses less digits than its factorization.

4993436520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11277 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 4993436520 is about 70664.2520656661. The cubic root of 4993436520 is about 1709.2273928448.

The spelling of 4993436520 in words is "four billion, nine hundred ninety-three million, four hundred thirty-six thousand, five hundred twenty".