4064076544 has 72 divisors (see below), whose sum is σ = 9055835712. Its totient is φ = 1804293120.

The previous prime is 4064076521. The next prime is 4064076557. The reversal of 4064076544 is 4456704604.

It is a super-3 number, since 3×4064076544³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4064076497 and 4064076506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104307 + ... + 137869.

It is an arithmetic number, because the mean of its divisors is an integer number (125775496).

Almost surely, 2^4064076544 is an apocalyptic number.

4064076544 is a gapful number since it is divisible by the number (44) 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 4064076544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527917856).

4064076544 is an abundant number, since it is smaller than the sum of its proper divisors (4991759168).

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

4064076544 is a wasteful number, since it uses less digits than its factorization.

4064076544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33633 (or 33619 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The square root of 4064076544 is about 63750.1101489244. The cubic root of 4064076544 is about 1595.8324541510.

The spelling of 4064076544 in words is "four billion, sixty-four million, seventy-six thousand, five hundred forty-four".