533996457984 has 1248 divisors, whose sum is σ = 1957787919360. Its totient is φ = 143327232000.

The previous prime is 533996457971. The next prime is 533996458007. The reversal of 533996457984 is 489754699335.

533996457984 is a `hidden beast` number, since 5 + 3 + 3 + 9 + 96 + 457 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3536400309 + ... + 3536400459.

It is an arithmetic number, because the mean of its divisors is an integer number (1568740320).

Almost surely, 2^533996457984 is an apocalyptic number.

533996457984 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 533996457984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978893959680).

533996457984 is an abundant number, since it is smaller than the sum of its proper divisors (1423791461376).

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

533996457984 is a wasteful number, since it uses less digits than its factorization.

533996457984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 203 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 72.

The spelling of 533996457984 in words is "five hundred thirty-three billion, nine hundred ninety-six million, four hundred fifty-seven thousand, nine hundred eighty-four".