4415628672 has 384 divisors, whose sum is σ = 15880388160. Its totient is φ = 1146617856.

The previous prime is 4415628667. The next prime is 4415628673. The reversal of 4415628672 is 2768265144.

4415628672 is a `hidden beast` number, since 4 + 4 + 1 + 562 + 86 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415628673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7652448 + ... + 7653024.

Almost surely, 2^4415628672 is an apocalyptic number.

4415628672 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 4415628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940194080).

4415628672 is an abundant number, since it is smaller than the sum of its proper divisors (11464759488).

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

4415628672 is a wasteful number, since it uses less digits than its factorization.

4415628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 675 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 4415628672 is about 66450.1969297308. The cubic root of 4415628672 is about 1640.5803854992.

The spelling of 4415628672 in words is "four billion, four hundred fifteen million, six hundred twenty-eight thousand, six hundred seventy-two".