4072578048 has 352 divisors, whose sum is σ = 15044958720. Its totient is φ = 1057259520.

The previous prime is 4072578043. The next prime is 4072578071. The reversal of 4072578048 is 8408752704.

4072578048 is a `hidden beast` number, since 4 + 0 + 72 + 578 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 4072577994 and 4072578012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072578043) 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, 2127940 + ... + 2129852.

It is an arithmetic number, because the mean of its divisors is an integer number (42741360).

Almost surely, 2^4072578048 is an apocalyptic number.

4072578048 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 4072578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522479360).

4072578048 is an abundant number, since it is smaller than the sum of its proper divisors (10972380672).

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

4072578048 is a wasteful number, since it uses less digits than its factorization.

4072578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4072578048 is about 63816.7536623417. The cubic root of 4072578048 is about 1596.9444350832.

The spelling of 4072578048 in words is "four billion, seventy-two million, five hundred seventy-eight thousand, forty-eight".