537406286400 has 567 divisors, whose sum is σ = 1971019872913. Its totient is φ = 138874675200.

The previous prime is 537406286377. The next prime is 537406286419. The reversal of 537406286400 is 4682604735.

The square root of 537406286400 is 733080.

It is a perfect power (a square), and thus also a powerful number.

537406286400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 471903050304 + 65503236096 = 686952^2 + 255936^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3606753526 + ... + 3606753674.

Almost surely, 2^537406286400 is an apocalyptic number.

537406286400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

537406286400 is the 733080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537406286400

537406286400 is an abundant number, since it is smaller than the sum of its proper divisors (1433613586513).

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

537406286400 is a wasteful number, since it uses less digits than its factorization.

537406286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 537406286400 in words is "five hundred thirty-seven billion, four hundred six million, two hundred eighty-six thousand, four hundred".