4064187960 has 640 divisors, whose sum is σ = 16860856320. Its totient is φ = 856977408.

The previous prime is 4064187949. The next prime is 4064187983. The reversal of 4064187960 is 697814604.

4064187960 is a `hidden beast` number, since 406 + 4 + 187 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32001417 + ... + 32001543.

It is an arithmetic number, because the mean of its divisors is an integer number (26345088).

Almost surely, 2^4064187960 is an apocalyptic number.

4064187960 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 4064187960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430428160).

4064187960 is an abundant number, since it is smaller than the sum of its proper divisors (12796668360).

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

4064187960 is a wasteful number, since it uses less digits than its factorization.

4064187960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4064187960 is about 63750.9839924060. The cubic root of 4064187960 is about 1595.8470371804.

The spelling of 4064187960 in words is "four billion, sixty-four million, one hundred eighty-seven thousand, nine hundred sixty".