4064586960 has 320 divisors, whose sum is σ = 14810480640. Its totient is φ = 902952960.

The previous prime is 4064586949. The next prime is 4064586971. The reversal of 4064586960 is 696854604.

4064586960 = 453² + 454² + ... + 2307².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4064586949) and next prime (4064586971).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17006521 + ... + 17006759.

It is an arithmetic number, because the mean of its divisors is an integer number (46282752).

Almost surely, 2^4064586960 is an apocalyptic number.

4064586960 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 4064586960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405240320).

4064586960 is an abundant number, since it is smaller than the sum of its proper divisors (10745893680).

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

4064586960 is a wasteful number, since it uses less digits than its factorization.

4064586960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 4064586960 is about 63754.1132790662. The cubic root of 4064586960 is about 1595.8992593494.

The spelling of 4064586960 in words is "four billion, sixty-four million, five hundred eighty-six thousand, nine hundred sixty".