5632834944 has 256 divisors, whose sum is σ = 17660851200. Its totient is φ = 1571389440.

The previous prime is 5632834931. The next prime is 5632834973. The reversal of 5632834944 is 4494382365.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5632834893 and 5632834902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3374142 + ... + 3375810.

It is an arithmetic number, because the mean of its divisors is an integer number (68987700).

Almost surely, 2^5632834944 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 5632834944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830425600).

5632834944 is an abundant number, since it is smaller than the sum of its proper divisors (12028016256).

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

5632834944 is a wasteful number, since it uses less digits than its factorization.

5632834944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1749 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The square root of 5632834944 is about 75052.2147841088. The cubic root of 5632834944 is about 1779.2719894573.

The spelling of 5632834944 in words is "five billion, six hundred thirty-two million, eight hundred thirty-four thousand, nine hundred forty-four".