5961824064 has 84 divisors (see below), whose sum is σ = 19529718624. Its totient is φ = 1703377152.

The previous prime is 5961824059. The next prime is 5961824069. The reversal of 5961824064 is 4604281695.

5961824064 is a `hidden beast` number, since 5 + 9 + 618 + 24 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5961824059) and next prime (5961824069).

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5961824069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735282 + ... + 743345.

Almost surely, 2^5961824064 is an apocalyptic number.

It is an amenable number.

5961824064 is an abundant number, since it is smaller than the sum of its proper divisors (13567894560).

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

5961824064 is a wasteful number, since it uses less digits than its factorization.

5961824064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478652 (or 1478639 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5961824064 is about 77212.8490861463. The cubic root of 5961824064 is about 1813.2584857130.

The spelling of 5961824064 in words is "five billion, nine hundred sixty-one million, eight hundred twenty-four thousand, sixty-four".