532424640000 has 800 divisors, whose sum is σ = 1953713811456. Its totient is φ = 127733760000.

The previous prime is 532424639951. The next prime is 532424640023. The reversal of 532424640000 is 46424235.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 532424640000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1341119802 + ... + 1341120198.

Almost surely, 2^532424640000 is an apocalyptic number.

532424640000 is a gapful number since it is divisible by the number (50) 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 532424640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976856905728).

532424640000 is an abundant number, since it is smaller than the sum of its proper divisors (1421289171456).

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

532424640000 is a wasteful number, since it uses less digits than its factorization.

532424640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 532424640000 in words is "five hundred thirty-two billion, four hundred twenty-four million, six hundred forty thousand".