4176473974560 has 288 divisors, whose sum is σ = 15528105976320. Its totient is φ = 1048212762624.

The previous prime is 4176473974529. The next prime is 4176473974583. The reversal of 4176473974560 is 654793746714.

It is a happy number.

4176473974560 is a `hidden beast` number, since 4 + 1 + 7 + 64 + 7 + 3 + 9 + 7 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424144 + ... + 2921103.

It is an arithmetic number, because the mean of its divisors is an integer number (53917034640).

Almost surely, 2^{4176473974560} is an apocalyptic number.

4176473974560 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 4176473974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7764052988160).

4176473974560 is an abundant number, since it is smaller than the sum of its proper divisors (11351632001760).

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

4176473974560 is a wasteful number, since it uses less digits than its factorization.

4176473974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345305 (or 3345274 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 4176473974560 in words is "four trillion, one hundred seventy-six billion, four hundred seventy-three million, nine hundred seventy-four thousand, five hundred sixty".