6017946480 has 480 divisors, whose sum is σ = 25358126976. Its totient is φ = 1245044736.

The previous prime is 6017946391. The next prime is 6017946523. The reversal of 6017946480 is 846497106.

6017946480 is a `hidden beast` number, since 60 + 1 + 79 + 46 + 480 = 666.

It is a super-2 number, since 2×6017946480² = 72431359672288780800, which contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3471694 + ... + 3473426.

Almost surely, 2^6017946480 is an apocalyptic number.

6017946480 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 6017946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12679063488).

6017946480 is an abundant number, since it is smaller than the sum of its proper divisors (19340180496).

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

6017946480 is a wasteful number, since it uses less digits than its factorization.

6017946480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6017946480 is about 77575.4244590386. The cubic root of 6017946480 is about 1818.9305071845.

The spelling of 6017946480 in words is "six billion, seventeen million, nine hundred forty-six thousand, four hundred eighty".