4987767456 has 288 divisors, whose sum is σ = 17209640448. Its totient is φ = 1391281920.

The previous prime is 4987767439. The next prime is 4987767469. The reversal of 4987767456 is 6547677894.

4987767456 is a `hidden beast` number, since 49 + 87 + 7 + 67 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4987767393 and 4987767402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2339511 + ... + 2341641.

It is an arithmetic number, because the mean of its divisors is an integer number (59755696).

Almost surely, 2^4987767456 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 4987767456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8604820224).

4987767456 is an abundant number, since it is smaller than the sum of its proper divisors (12221872992).

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

4987767456 is a wasteful number, since it uses less digits than its factorization.

4987767456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2186 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The square root of 4987767456 is about 70624.1280016964. The cubic root of 4987767456 is about 1708.5803175171.

The spelling of 4987767456 in words is "four billion, nine hundred eighty-seven million, seven hundred sixty-seven thousand, four hundred fifty-six".