5634056064 has 384 divisors, whose sum is σ = 19378759680. Its totient is φ = 1436037120.

The previous prime is 5634056059. The next prime is 5634056101. The reversal of 5634056064 is 4606504365.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 7582477 + ... + 7583219.

It is an arithmetic number, because the mean of its divisors is an integer number (50465520).

Almost surely, 2^5634056064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5634056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689379840).

5634056064 is an abundant number, since it is smaller than the sum of its proper divisors (13744703616).

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

5634056064 is a wasteful number, since it uses less digits than its factorization.

5634056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 5634056064 is about 75060.3494796021. The cubic root of 5634056064 is about 1779.4005539456.

The spelling of 5634056064 in words is "five billion, six hundred thirty-four million, fifty-six thousand, sixty-four".