537473664 has 256 divisors, whose sum is σ = 1953504000. Its totient is φ = 141668352.

The previous prime is 537473647. The next prime is 537473681. The reversal of 537473664 is 466374735.

It is an interprime number because it is at equal distance from previous prime (537473647) and next prime (537473681).

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 31 ways as a sum of consecutive naturals, for example, 313642 + ... + 315350.

It is an arithmetic number, because the mean of its divisors is an integer number (7630875).

Almost surely, 2^537473664 is an apocalyptic number.

537473664 is a gapful number since it is divisible by the number (54) 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 537473664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976752000).

537473664 is an abundant number, since it is smaller than the sum of its proper divisors (1416030336).

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

537473664 is a wasteful number, since it uses less digits than its factorization.

537473664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1734 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The square root of 537473664 is about 23183.4782549988. The cubic root of 537473664 is about 813.0533862902.

The spelling of 537473664 in words is "five hundred thirty-seven million, four hundred seventy-three thousand, six hundred sixty-four".