537600448000 has 960 divisors, whose sum is σ = 1740096483840. Its totient is φ = 160892928000.

The previous prime is 537600447991. The next prime is 537600448067. The reversal of 537600448000 is 844006735.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 9111871971 + ... + 9111872029.

It is an arithmetic number, because the mean of its divisors is an integer number (1812600504).

Almost surely, 2^537600448000 is an apocalyptic number.

537600448000 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 537600448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870048241920).

537600448000 is an abundant number, since it is smaller than the sum of its proper divisors (1202496035840).

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

537600448000 is an equidigital number, since it uses as much as digits as its factorization.

537600448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 537600448000 in words is "five hundred thirty-seven billion, six hundred million, four hundred forty-eight thousand".