537956640 has 480 divisors, whose sum is σ = 2131024896. Its totient is φ = 126904320.

The previous prime is 537956611. The next prime is 537956647. The reversal of 537956640 is 46659735.

537956640 is a `hidden beast` number, since 537 + 9 + 56 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537956647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5222829 + ... + 5222931.

Almost surely, 2^537956640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065512448).

537956640 is an abundant number, since it is smaller than the sum of its proper divisors (1593068256).

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

537956640 is a wasteful number, since it uses less digits than its factorization.

537956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 537956640 is about 23193.8922994826. The cubic root of 537956640 is about 813.2968510615.

The spelling of 537956640 in words is "five hundred thirty-seven million, nine hundred fifty-six thousand, six hundred forty".