4515678720 has 960 divisors, whose sum is σ = 19947223296. Its totient is φ = 955514880.

The previous prime is 4515678689. The next prime is 4515678721. The reversal of 4515678720 is 278765154.

4515678720 is a `hidden beast` number, since 4 + 5 + 1 + 567 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4515678721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74027490 + ... + 74027550.

Almost surely, 2^4515678720 is an apocalyptic number.

4515678720 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 4515678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9973611648).

4515678720 is an abundant number, since it is smaller than the sum of its proper divisors (15431544576).

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

4515678720 is an equidigital number, since it uses as much as digits as its factorization.

4515678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 4515678720 is about 67198.7999892855. The cubic root of 4515678720 is about 1652.8788090372.

The spelling of 4515678720 in words is "four billion, five hundred fifteen million, six hundred seventy-eight thousand, seven hundred twenty".