6075168480 has 480 divisors, whose sum is σ = 22722638400. Its totient is φ = 1525506048.

The previous prime is 6075168479. The next prime is 6075168499. The reversal of 6075168480 is 848615706.

It is a happy number.

6075168480 is a `hidden beast` number, since 6 + 0 + 7 + 5 + 168 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26529006 + ... + 26529234.

It is an arithmetic number, because the mean of its divisors is an integer number (47338830).

Almost surely, 2^6075168480 is an apocalyptic number.

6075168480 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 6075168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11361319200).

6075168480 is an abundant number, since it is smaller than the sum of its proper divisors (16647469920).

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

6075168480 is a wasteful number, since it uses less digits than its factorization.

6075168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6075168480 is about 77943.3671328100. The cubic root of 6075168480 is about 1824.6774664896.

The spelling of 6075168480 in words is "six billion, seventy-five million, one hundred sixty-eight thousand, four hundred eighty".