67542624538624 has 39 divisors (see below), whose sum is σ = 135069811017753. Its totient is φ = 33771049279488.

The previous prime is 67542624538619. The next prime is 67542624538691. The reversal of 67542624538624 is 42683542624576.

The square root of 67542624538624 is 8218432.

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

It can be written as a sum of positive squares in only one way, i.e., 45602468761600 + 21940155777024 = 6752960^2 + 4684032^2 .

It is a super-2 number, since 2×67542624538624² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 525915442 + ... + 526043854.

Almost surely, 2^{67542624538624} is an apocalyptic number.

67542624538624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

67542624538624 is the 8218432-nd square number.

It is an amenable number.

67542624538624 is a deficient number, since it is larger than the sum of its proper divisors (67527186479129).

67542624538624 is an frugal number, since it uses more digits than its factorization.

67542624538624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256850 (or 128415 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 64.

67542624538624 divided by its sum of digits (64) gives a square (1055353508416 = 1027304²).

The spelling of 67542624538624 in words is "sixty-seven trillion, five hundred forty-two billion, six hundred twenty-four million, five hundred thirty-eight thousand, six hundred twenty-four".