537979680 has 432 divisors, whose sum is σ = 2251005120. Its totient is φ = 114296832.

The previous prime is 537979669. The next prime is 537979691. The reversal of 537979680 is 86979735.

It is an interprime number because it is at equal distance from previous prime (537979669) and next prime (537979691).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10150534 + ... + 10150586.

It is an arithmetic number, because the mean of its divisors is an integer number (5210660).

Almost surely, 2^537979680 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 537979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125502560).

537979680 is an abundant number, since it is smaller than the sum of its proper divisors (1713025440).

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

537979680 is a wasteful number, since it uses less digits than its factorization.

537979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 537979680 is about 23194.3889766469. The cubic root of 537979680 is about 813.3084617197.

The spelling of 537979680 in words is "five hundred thirty-seven million, nine hundred seventy-nine thousand, six hundred eighty".