67187315520 has 252 divisors, whose sum is σ = 250242261516. Its totient is φ = 16538296320.

The previous prime is 67187315509. The next prime is 67187315567. The reversal of 67187315520 is 2551378176.

It is a happy number.

67187315520 is a `hidden beast` number, since 67 + 1 + 8 + 7 + 31 + 552 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1006665984 + 66180649536 = 31728^2 + 257256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 417700 + ... + 555740.

Almost surely, 2^67187315520 is an apocalyptic number.

67187315520 is a gapful number since it is divisible by the number (60) 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 67187315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125121130758).

67187315520 is an abundant number, since it is smaller than the sum of its proper divisors (183054945996).

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

67187315520 is a wasteful number, since it uses less digits than its factorization.

67187315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138090 (or 138064 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 67187315520 in words is "sixty-seven billion, one hundred eighty-seven million, three hundred fifteen thousand, five hundred twenty".