6240168480 has 768 divisors, whose sum is σ = 26065428480. Its totient is φ = 1218281472.

The previous prime is 6240168457. The next prime is 6240168491. The reversal of 6240168480 is 848610426.

It is a Harshad number since it is a multiple of its sum of digits (39).

6240168480 is a modest number, since divided by 168480 gives 6240 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60584109 + ... + 60584211.

It is an arithmetic number, because the mean of its divisors is an integer number (33939360).

Almost surely, 2^6240168480 is an apocalyptic number.

6240168480 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 6240168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13032714240).

6240168480 is an abundant number, since it is smaller than the sum of its proper divisors (19825260000).

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

6240168480 is a wasteful number, since it uses less digits than its factorization.

6240168480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 6240168480 is about 78994.7370398813. The cubic root of 6240168480 is about 1841.0493856494.

The spelling of 6240168480 in words is "six billion, two hundred forty million, one hundred sixty-eight thousand, four hundred eighty".