4681514880 has 960 divisors, whose sum is σ = 20682723600. Its totient is φ = 1003290624.

The previous prime is 4681514843. The next prime is 4681514881. The reversal of 4681514880 is 884151864.

4681514880 is a `hidden beast` number, since 46 + 81 + 51 + 488 + 0 = 666.

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

It is a super-2 number, since 2×4681514880² = 43833163143322828800, 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 not an unprimeable number, because it can be changed into a prime (4681514881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48262992 + ... + 48263088.

Almost surely, 2^4681514880 is an apocalyptic number.

4681514880 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 4681514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10341361800).

4681514880 is an abundant number, since it is smaller than the sum of its proper divisors (16001208720).

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

4681514880 is a wasteful number, since it uses less digits than its factorization.

4681514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 4681514880 is about 68421.5965905503. The cubic root of 4681514880 is about 1672.8697808930.

The spelling of 4681514880 in words is "four billion, six hundred eighty-one million, five hundred fourteen thousand, eight hundred eighty".