4196273664 has 160 divisors (see below), whose sum is σ = 12321175680. Its totient is φ = 1258496000.

The previous prime is 4196273647. The next prime is 4196273689. The reversal of 4196273664 is 4663726914.

It is a super-3 number, since 3×4196273664³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1306368) is a multiple of the sum of its prime factors (2592).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1705267 + ... + 1707725.

It is an arithmetic number, because the mean of its divisors is an integer number (77007348).

Almost surely, 2^4196273664 is an apocalyptic number.

4196273664 is a gapful number since it is divisible by the number (44) 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 4196273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160587840).

4196273664 is an abundant number, since it is smaller than the sum of its proper divisors (8124902016).

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

4196273664 is a wasteful number, since it uses less digits than its factorization.

4196273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2576 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 4196273664 is about 64778.6512980936. The cubic root of 4196273664 is about 1612.9513479157.

The spelling of 4196273664 in words is "four billion, one hundred ninety-six million, two hundred seventy-three thousand, six hundred sixty-four".