4516718976 has 384 divisors, whose sum is σ = 16756723200. Its totient is φ = 1172413440.

The previous prime is 4516718963. The next prime is 4516719017. The reversal of 4516718976 is 6798176154.

4516718976 is a `hidden beast` number, since 451 + 6 + 7 + 189 + 7 + 6 = 666.

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

It is a super-3 number, since 3×4516718976³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2926461 + ... + 2928003.

It is an arithmetic number, because the mean of its divisors is an integer number (43637300).

Almost surely, 2^4516718976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4516718976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378361600).

4516718976 is an abundant number, since it is smaller than the sum of its proper divisors (12240004224).

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

4516718976 is a wasteful number, since it uses less digits than its factorization.

4516718976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1566 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 4516718976 is about 67206.5396817899. The cubic root of 4516718976 is about 1653.0057213052.

The spelling of 4516718976 in words is "four billion, five hundred sixteen million, seven hundred eighteen thousand, nine hundred seventy-six".