4676486400 has 648 divisors, whose sum is σ = 18082564864. Its totient is φ = 1194393600.

The previous prime is 4676486383. The next prime is 4676486411. The reversal of 4676486400 is 46846764.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 48211152 + ... + 48211248.

Almost surely, 2^4676486400 is an apocalyptic number.

4676486400 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 4676486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041282432).

4676486400 is an abundant number, since it is smaller than the sum of its proper divisors (13406078464).

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

4676486400 is an equidigital number, since it uses as much as digits as its factorization.

4676486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4676486400 is about 68384.8404253457. The cubic root of 4676486400 is about 1672.2706154474.

The spelling of 4676486400 in words is "four billion, six hundred seventy-six million, four hundred eighty-six thousand, four hundred".