6133164480 has 392 divisors, whose sum is σ = 22307482944. Its totient is φ = 1604966400.

The previous prime is 6133164463. The next prime is 6133164481. The reversal of 6133164480 is 844613316.

It is a happy number.

6133164480 is a `hidden beast` number, since 6 + 1 + 3 + 3 + 1 + 644 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6133164481) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14229865 + ... + 14230295.

Almost surely, 2^6133164480 is an apocalyptic number.

6133164480 is a gapful number since it is divisible by the number (60) 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 6133164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11153741472).

6133164480 is an abundant number, since it is smaller than the sum of its proper divisors (16174318464).

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

6133164480 is an equidigital number, since it uses as much as digits as its factorization.

6133164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6133164480 is about 78314.5227911145. The cubic root of 6133164480 is about 1830.4654553732.

Adding to 6133164480 its reverse (844613316), we get a palindrome (6977777796).

It can be divided in two parts, 613316 and 4480, that added together give a square (617796 = 786²).

The spelling of 6133164480 in words is "six billion, one hundred thirty-three million, one hundred sixty-four thousand, four hundred eighty".