537150768 has 320 divisors, whose sum is σ = 1871880192. Its totient is φ = 128471040.

The previous prime is 537150749. The next prime is 537150787. The reversal of 537150768 is 867051735.

It is an interprime number because it is at equal distance from previous prime (537150749) and next prime (537150787).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5215005 + ... + 5215107.

Almost surely, 2^537150768 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 537150768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935940096).

537150768 is an abundant number, since it is smaller than the sum of its proper divisors (1334729424).

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

537150768 is a wasteful number, since it uses less digits than its factorization.

537150768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 537150768 is about 23176.5132839260. The cubic root of 537150768 is about 812.8905353483.

The spelling of 537150768 in words is "five hundred thirty-seven million, one hundred fifty thousand, seven hundred sixty-eight".