4170767978160 has 960 divisors, whose sum is σ = 17181224616960. Its totient is φ = 926894223360.

The previous prime is 4170767978159. The next prime is 4170767978173. The reversal of 4170767978160 is 618797670714.

4170767978160 is a `hidden beast` number, since 417 + 0 + 76 + 7 + 97 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 548564919 + ... + 548572521.

It is an arithmetic number, because the mean of its divisors is an integer number (17897108976).

Almost surely, 2^{4170767978160} is an apocalyptic number.

4170767978160 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 4170767978160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8590612308480).

4170767978160 is an abundant number, since it is smaller than the sum of its proper divisors (13010456638800).

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

4170767978160 is a wasteful number, since it uses less digits than its factorization.

4170767978160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7783 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 63.

The spelling of 4170767978160 in words is "four trillion, one hundred seventy billion, seven hundred sixty-seven million, nine hundred seventy-eight thousand, one hundred sixty".