4188776064 has 192 divisors, whose sum is σ = 12951731520. Its totient is φ = 1194434560.

The previous prime is 4188776063. The next prime is 4188776069. The reversal of 4188776064 is 4606778814.

It is a happy number.

4188776064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 4188775998 and 4188776016.

It is not an unprimeable number, because it can be changed into a prime (4188776063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787237 + ... + 792539.

It is an arithmetic number, because the mean of its divisors is an integer number (67456935).

Almost surely, 2^4188776064 is an apocalyptic number.

4188776064 is a gapful number since it is divisible by the number (44) 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 4188776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6475865760).

4188776064 is an abundant number, since it is smaller than the sum of its proper divisors (8762955456).

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

4188776064 is a wasteful number, since it uses less digits than its factorization.

4188776064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5359 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 4188776064 is about 64720.7545073449. The cubic root of 4188776064 is about 1611.9901400592.

The spelling of 4188776064 in words is "four billion, one hundred eighty-eight million, seven hundred seventy-six thousand, sixty-four".