5634300672 has 648 divisors, whose sum is σ = 22264678800. Its totient is φ = 1347010560.

The previous prime is 5634300671. The next prime is 5634300691. The reversal of 5634300672 is 2760034365.

5634300672 is a `hidden beast` number, since 563 + 4 + 30 + 0 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5634300671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16143954 + ... + 16144302.

Almost surely, 2^5634300672 is an apocalyptic number.

5634300672 is a gapful number since it is divisible by the number (52) 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 5634300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132339400).

5634300672 is an abundant number, since it is smaller than the sum of its proper divisors (16630378128).

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

5634300672 is a wasteful number, since it uses less digits than its factorization.

5634300672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 5634300672 is about 75061.9788707972. The cubic root of 5634300672 is about 1779.4263050390.

The spelling of 5634300672 in words is "five billion, six hundred thirty-four million, three hundred thousand, six hundred seventy-two".