4064048640 has 480 divisors, whose sum is σ = 15014039040. Its totient is φ = 1053057024.

The previous prime is 4064048621. The next prime is 4064048657. The reversal of 4064048640 is 468404604.

4064048640 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 0 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 4064048595 and 4064048604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29237691 + ... + 29237829.

It is an arithmetic number, because the mean of its divisors is an integer number (31279248).

Almost surely, 2^4064048640 is an apocalyptic number.

4064048640 is a gapful number since it is divisible by the number (40) 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 4064048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507019520).

4064048640 is an abundant number, since it is smaller than the sum of its proper divisors (10949990400).

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

4064048640 is an equidigital number, since it uses as much as digits as its factorization.

4064048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4064048640 is about 63749.8912940250. The cubic root of 4064048640 is about 1595.8288018075.

The spelling of 4064048640 in words is "four billion, sixty-four million, forty-eight thousand, six hundred forty".