4876351600 has 60 divisors (see below), whose sum is σ = 11738422800. Its totient is φ = 1946713600.

The previous prime is 4876351591. The next prime is 4876351633. The reversal of 4876351600 is 61536784.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196701 + ... + 220099.

It is an arithmetic number, because the mean of its divisors is an integer number (195640380).

Almost surely, 2^4876351600 is an apocalyptic number.

4876351600 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 4876351600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869211400).

4876351600 is an abundant number, since it is smaller than the sum of its proper divisors (6862071200).

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

4876351600 is a wasteful number, since it uses less digits than its factorization.

4876351600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23938 (or 23927 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 4876351600 is about 69830.8785566958. The cubic root of 4876351600 is about 1695.7624099807.

The spelling of 4876351600 in words is "four billion, eight hundred seventy-six million, three hundred fifty-one thousand, six hundred".