4778476416 has 384 divisors, whose sum is σ = 17268975360. Its totient is φ = 1283973120.

The previous prime is 4778476411. The next prime is 4778476429. The reversal of 4778476416 is 6146748774.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6322176) is a multiple of the sum of its prime factors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4778476411) 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 47 ways as a sum of consecutive naturals, for example, 3700731 + ... + 3702021.

It is an arithmetic number, because the mean of its divisors is an integer number (44971290).

Almost surely, 2^4778476416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4778476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634487680).

4778476416 is an abundant number, since it is smaller than the sum of its proper divisors (12490498944).

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

4778476416 is a wasteful number, since it uses less digits than its factorization.

4778476416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1320 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 4778476416 is about 69126.5246920457. The cubic root of 4778476416 is about 1684.3402061836.

The spelling of 4778476416 in words is "four billion, seven hundred seventy-eight million, four hundred seventy-six thousand, four hundred sixteen".