4170117672 has 192 divisors, whose sum is σ = 13557473280. Its totient is φ = 1132154496.

The previous prime is 4170117659. The next prime is 4170117689. The reversal of 4170117672 is 2767110714.

4170117672 is a `hidden beast` number, since 417 + 0 + 1 + 176 + 72 = 666.

4170117672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1888393 + ... + 1890599.

It is an arithmetic number, because the mean of its divisors is an integer number (70611840).

Almost surely, 2^4170117672 is an apocalyptic number.

4170117672 is a gapful number since it is divisible by the number (42) 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 4170117672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778736640).

4170117672 is an abundant number, since it is smaller than the sum of its proper divisors (9387355608).

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

4170117672 is a wasteful number, since it uses less digits than its factorization.

4170117672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 4170117672 is about 64576.4482764421. The cubic root of 4170117672 is about 1609.5931062845.

The spelling of 4170117672 in words is "four billion, one hundred seventy million, one hundred seventeen thousand, six hundred seventy-two".