4077064969728 has 320 divisors, whose sum is σ = 11792903063040. Its totient is φ = 1247799246848.

The previous prime is 4077064969727. The next prime is 4077064969763. The reversal of 4077064969728 is 8279694607704.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077064969721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177229075 + ... + 177252077.

It is an arithmetic number, because the mean of its divisors is an integer number (36852822072).

Almost surely, 2^{4077064969728} is an apocalyptic number.

4077064969728 is a gapful number since it is divisible by the number (48) 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 4077064969728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896451531520).

4077064969728 is an abundant number, since it is smaller than the sum of its proper divisors (7715838093312).

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

4077064969728 is a wasteful number, since it uses less digits than its factorization.

4077064969728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23249 (or 23233 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 69.

The spelling of 4077064969728 in words is "four trillion, seventy-seven billion, sixty-four million, nine hundred sixty-nine thousand, seven hundred twenty-eight".