4077063504 has 160 divisors (see below), whose sum is σ = 12064227840. Its totient is φ = 1317593088.

The previous prime is 4077063503. The next prime is 4077063511. The reversal of 4077063504 is 4053607704.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077063503) 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 31 ways as a sum of consecutive naturals, for example, 2293464 + ... + 2295240.

It is an arithmetic number, because the mean of its divisors is an integer number (75401424).

Almost surely, 2^4077063504 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 4077063504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032113920).

4077063504 is an abundant number, since it is smaller than the sum of its proper divisors (7987164336).

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

4077063504 is a wasteful number, since it uses less digits than its factorization.

4077063504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 4077063504 is about 63851.8872391412. The cubic root of 4077063504 is about 1597.5305008614.

The spelling of 4077063504 in words is "four billion, seventy-seven million, sixty-three thousand, five hundred four".