4162272624 has 180 divisors, whose sum is σ = 12164783904. Its totient is φ = 1327873536.

The previous prime is 4162272617. The next prime is 4162272641. The reversal of 4162272624 is 4262722614.

4162272624 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 27 + 2 + 624 = 666.

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

Its product of digits (64512) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30381484 + ... + 30381620.

Almost surely, 2^4162272624 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 4162272624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082391952).

4162272624 is an abundant number, since it is smaller than the sum of its proper divisors (8002511280).

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

4162272624 is a wasteful number, since it uses less digits than its factorization.

4162272624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 256 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4162272624 is about 64515.6773505479. The cubic root of 4162272624 is about 1608.5831218457.

The spelling of 4162272624 in words is "four billion, one hundred sixty-two million, two hundred seventy-two thousand, six hundred twenty-four".