4993167520 has 288 divisors, whose sum is σ = 13966815744. Its totient is φ = 1671014400.

The previous prime is 4993167503. The next prime is 4993167527. The reversal of 4993167520 is 257613994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (4993167527) 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, 28862154 + ... + 28862326.

It is an arithmetic number, because the mean of its divisors is an integer number (48495888).

Almost surely, 2^4993167520 is an apocalyptic number.

4993167520 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 4993167520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983407872).

4993167520 is an abundant number, since it is smaller than the sum of its proper divisors (8973648224).

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

4993167520 is a wasteful number, since it uses less digits than its factorization.

4993167520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 4993167520 is about 70662.3486731088. The cubic root of 4993167520 is about 1709.1966998592.

The spelling of 4993167520 in words is "four billion, nine hundred ninety-three million, one hundred sixty-seven thousand, five hundred twenty".