537667680 has 192 divisors, whose sum is σ = 1872460800. Its totient is φ = 128593920.

The previous prime is 537667667. The next prime is 537667709. The reversal of 537667680 is 86766735.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 416476 + ... + 417764.

It is an arithmetic number, because the mean of its divisors is an integer number (9752400).

Almost surely, 2^537667680 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 537667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936230400).

537667680 is an abundant number, since it is smaller than the sum of its proper divisors (1334793120).

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

537667680 is a wasteful number, since it uses less digits than its factorization.

537667680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 537667680 is about 23187.6622366292. The cubic root of 537667680 is about 813.1512058978.

The spelling of 537667680 in words is "five hundred thirty-seven million, six hundred sixty-seven thousand, six hundred eighty".