4516156080 has 320 divisors, whose sum is σ = 17042659200. Its totient is φ = 1094123520.

The previous prime is 4516156067. The next prime is 4516156081. The reversal of 4516156080 is 806516154.

4516156080 is a `hidden beast` number, since 4 + 5 + 16 + 1 + 560 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4516156081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1062760 + ... + 1067000.

It is an arithmetic number, because the mean of its divisors is an integer number (53258310).

Almost surely, 2^4516156080 is an apocalyptic number.

4516156080 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 4516156080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8521329600).

4516156080 is an abundant number, since it is smaller than the sum of its proper divisors (12526503120).

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

4516156080 is a wasteful number, since it uses less digits than its factorization.

4516156080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4516156080 is about 67202.3517445632. The cubic root of 4516156080 is about 1652.9370498522.

The spelling of 4516156080 in words is "four billion, five hundred sixteen million, one hundred fifty-six thousand, eighty".