4866710400 has 288 divisors, whose sum is σ = 17967432600. Its totient is φ = 1252823040.

The previous prime is 4866710393. The next prime is 4866710419. The reversal of 4866710400 is 40176684.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832287 + ... + 838113.

Almost surely, 2^4866710400 is an apocalyptic number.

4866710400 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 4866710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8983716300).

4866710400 is an abundant number, since it is smaller than the sum of its proper divisors (13100722200).

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

4866710400 is a wasteful number, since it uses less digits than its factorization.

4866710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4866710400 is about 69761.8119030749. The cubic root of 4866710400 is about 1694.6440895243.

The spelling of 4866710400 in words is "four billion, eight hundred sixty-six million, seven hundred ten thousand, four hundred".