5634896960 has 448 divisors, whose sum is σ = 17851428864. Its totient is φ = 1642291200.

The previous prime is 5634896921. The next prime is 5634896977. The reversal of 5634896960 is 696984365.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 5634896896 and 5634896905.

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 63 ways as a sum of consecutive naturals, for example, 34569839 + ... + 34570001.

Almost surely, 2^5634896960 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 5634896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8925714432).

5634896960 is an abundant number, since it is smaller than the sum of its proper divisors (12216531904).

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

5634896960 is a wasteful number, since it uses less digits than its factorization.

5634896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 56.

The square root of 5634896960 is about 75065.9507366689. The cubic root of 5634896960 is about 1779.4890761018.

The spelling of 5634896960 in words is "five billion, six hundred thirty-four million, eight hundred ninety-six thousand, nine hundred sixty".