4187328480 has 768 divisors, whose sum is σ = 16878274560. Its totient is φ = 963477504.

The previous prime is 4187328479. The next prime is 4187328493. The reversal of 4187328480 is 848237814.

It is a super-2 number, since 2×4187328480² = 35067439598838220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62497407 + ... + 62497473.

It is an arithmetic number, because the mean of its divisors is an integer number (21976920).

Almost surely, 2^4187328480 is an apocalyptic number.

4187328480 is a gapful number since it is divisible by the number (40) 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 4187328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439137280).

4187328480 is an abundant number, since it is smaller than the sum of its proper divisors (12690946080).

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

4187328480 is a wasteful number, since it uses less digits than its factorization.

4187328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4187328480 is about 64709.5702350124. The cubic root of 4187328480 is about 1611.8044247127.

The spelling of 4187328480 in words is "four billion, one hundred eighty-seven million, three hundred twenty-eight thousand, four hundred eighty".