67542237504 has 280 divisors, whose sum is σ = 229168439808. Its totient is φ = 19268305920.

The previous prime is 67542237431. The next prime is 67542237541. The reversal of 67542237504 is 40573224576.

67542237504 is a `hidden beast` number, since 6 + 75 + 42 + 2 + 37 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 67542237504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37049137 + ... + 37050959.

Almost surely, 2^67542237504 is an apocalyptic number.

67542237504 is a gapful number since it is divisible by the number (64) 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 67542237504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114584219904).

67542237504 is an abundant number, since it is smaller than the sum of its proper divisors (161626202304).

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

67542237504 is a wasteful number, since it uses less digits than its factorization.

67542237504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 67542237504 in words is "sixty-seven billion, five hundred forty-two million, two hundred thirty-seven thousand, five hundred four".