67531377424 has 45 divisors (see below), whose sum is σ = 152220411381. Its totient is φ = 28938900480.

The previous prime is 67531377413. The next prime is 67531377467. The reversal of 67531377424 is 42477313576.

It is a happy number.

The square root of 67531377424 is 259868.

It is a perfect power (a square), and thus also a powerful number.

67531377424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 60285963024 + 7245414400 = 245532^2 + 85120^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7271664 + ... + 7280944.

Almost surely, 2^67531377424 is an apocalyptic number.

67531377424 is the 259868-th square number.

It is an amenable number.

67531377424 is an abundant number, since it is smaller than the sum of its proper divisors (84689033957).

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

67531377424 is an frugal number, since it uses more digits than its factorization.

67531377424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18584 (or 9290 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 49.

Multiplying 67531377424 by its sum of digits (49), we get a square (3309037493776 = 1819076²).

67531377424 divided by its sum of digits (49) gives a square (1378191376 = 37124²).

The spelling of 67531377424 in words is "sixty-seven billion, five hundred thirty-one million, three hundred seventy-seven thousand, four hundred twenty-four".