4170552672 has 192 divisors, whose sum is σ = 12909093120. Its totient is φ = 1162291200.

The previous prime is 4170552653. The next prime is 4170552691. The reversal of 4170552672 is 2762550714.

It is an interprime number because it is at equal distance from previous prime (4170552653) and next prime (4170552691).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4170552672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6328279 + ... + 6328937.

It is an arithmetic number, because the mean of its divisors is an integer number (67234860).

Almost surely, 2^4170552672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4170552672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454546560).

4170552672 is an abundant number, since it is smaller than the sum of its proper divisors (8738540448).

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

4170552672 is a wasteful number, since it uses less digits than its factorization.

4170552672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 4170552672 is about 64579.8162896117. The cubic root of 4170552672 is about 1609.6490718241.

The spelling of 4170552672 in words is "four billion, one hundred seventy million, five hundred fifty-two thousand, six hundred seventy-two".