4468380672 has 176 divisors, whose sum is σ = 14052442112. Its totient is φ = 1235312640.

The previous prime is 4468380671. The next prime is 4468380677. The reversal of 4468380672 is 2760838644.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4468380671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663273 + ... + 669975.

Almost surely, 2^4468380672 is an apocalyptic number.

4468380672 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 4468380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026221056).

4468380672 is an abundant number, since it is smaller than the sum of its proper divisors (9584061440).

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

4468380672 is a wasteful number, since it uses less digits than its factorization.

4468380672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764 (or 6746 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 4468380672 is about 66845.9473117107. The cubic root of 4468380672 is about 1647.0876906089.

The spelling of 4468380672 in words is "four billion, four hundred sixty-eight million, three hundred eighty thousand, six hundred seventy-two".