4800087864 has 384 divisors, whose sum is σ = 16378951680. Its totient is φ = 1297036800.

The previous prime is 4800087829. The next prime is 4800087869. The reversal of 4800087864 is 4687800084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800087869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8617474 + ... + 8618030.

It is an arithmetic number, because the mean of its divisors is an integer number (42653520).

Almost surely, 2^4800087864 is an apocalyptic number.

4800087864 is a gapful number since it is divisible by the number (44) 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 4800087864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

4800087864 is an abundant number, since it is smaller than the sum of its proper divisors (11578863816).

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

4800087864 is a wasteful number, since it uses less digits than its factorization.

4800087864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4800087864 is about 69282.6664036540. Note that the first 3 decimals coincide. The cubic root of 4800087864 is about 1686.8756232307.

The spelling of 4800087864 in words is "four billion, eight hundred million, eighty-seven thousand, eight hundred sixty-four".