4687467840 has 896 divisors, whose sum is σ = 19569623040. Its totient is φ = 1045094400.

The previous prime is 4687467833. The next prime is 4687467847. The reversal of 4687467840 is 487647864.

4687467840 is a `hidden beast` number, since 468 + 74 + 6 + 78 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4687467833) and next prime (4687467847).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4687467847) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 109010859 + ... + 109010901.

Almost surely, 2^4687467840 is an apocalyptic number.

4687467840 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 4687467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9784811520).

4687467840 is an abundant number, since it is smaller than the sum of its proper divisors (14882155200).

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

4687467840 is a wasteful number, since it uses less digits than its factorization.

4687467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The square root of 4687467840 is about 68465.0848243103. The cubic root of 4687467840 is about 1673.5785478254.

The spelling of 4687467840 in words is "four billion, six hundred eighty-seven million, four hundred sixty-seven thousand, eight hundred forty".