632525289984 has 640 divisors, whose sum is σ = 2330279424000. Its totient is φ = 165292130304.

The previous prime is 632525289973. The next prime is 632525289997. The reversal of 632525289984 is 489982525236.

632525289984 is a `hidden beast` number, since 6 + 3 + 2 + 525 + 28 + 9 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 53313237 + ... + 53325099.

It is an arithmetic number, because the mean of its divisors is an integer number (3641061600).

Almost surely, 2^632525289984 is an apocalyptic number.

632525289984 is a gapful number since it is divisible by the number (64) 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 632525289984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165139712000).

632525289984 is an abundant number, since it is smaller than the sum of its proper divisors (1697754134016).

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

632525289984 is a wasteful number, since it uses less digits than its factorization.

632525289984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11945 (or 11923 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 632525289984 in words is "six hundred thirty-two billion, five hundred twenty-five million, two hundred eighty-nine thousand, nine hundred eighty-four".