5625973584 has 200 divisors, whose sum is σ = 20301492288. Its totient is φ = 1461265920.

The previous prime is 5625973583. The next prime is 5625973603. The reversal of 5625973584 is 4853795265.

5625973584 is a `hidden beast` number, since 5 + 6 + 2 + 59 + 7 + 3 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5625973584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5625973583) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71604 + ... + 127980.

Almost surely, 2^5625973584 is an apocalyptic number.

5625973584 is a gapful number since it is divisible by the number (54) 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 5625973584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150746144).

5625973584 is an abundant number, since it is smaller than the sum of its proper divisors (14675518704).

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

5625973584 is a wasteful number, since it uses less digits than its factorization.

5625973584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56415 (or 56400 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 5625973584 is about 75006.4902791752. The cubic root of 5625973584 is about 1778.5492517899.

The spelling of 5625973584 in words is "five billion, six hundred twenty-five million, nine hundred seventy-three thousand, five hundred eighty-four".