4776710400 has 864 divisors, whose sum is σ = 21898598400. Its totient is φ = 989798400.

The previous prime is 4776710359. The next prime is 4776710401. The reversal of 4776710400 is 40176774.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-4 number, since 4×4776710400⁴ (a number of 40 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4776710401) 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 95 ways as a sum of consecutive naturals, for example, 13305421 + ... + 13305779.

It is an arithmetic number, because the mean of its divisors is an integer number (25345600).

Almost surely, 2^4776710400 is an apocalyptic number.

4776710400 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 4776710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949299200).

4776710400 is an abundant number, since it is smaller than the sum of its proper divisors (17121888000).

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

4776710400 is a wasteful number, since it uses less digits than its factorization.

4776710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 4776710400 is about 69113.7497174043. The cubic root of 4776710400 is about 1684.1326826960.

The spelling of 4776710400 in words is "four billion, seven hundred seventy-six million, seven hundred ten thousand, four hundred".