4064857920 has 336 divisors, whose sum is σ = 14390168832. Its totient is φ = 1052835840.

The previous prime is 4064857883. The next prime is 4064857931. The reversal of 4064857920 is 297584604.

It is a happy number.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21061344 + ... + 21061536.

Almost surely, 2^4064857920 is an apocalyptic number.

4064857920 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 4064857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195084416).

4064857920 is an abundant number, since it is smaller than the sum of its proper divisors (10325310912).

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

4064857920 is a wasteful number, since it uses less digits than its factorization.

4064857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4064857920 is about 63756.2382830104. The cubic root of 4064857920 is about 1595.9347213582.

The spelling of 4064857920 in words is "four billion, sixty-four million, eight hundred fifty-seven thousand, nine hundred twenty".