67734743532544 has 297 divisors, whose sum is σ = 150955758209991. Its totient is φ = 30355286691840.

The previous prime is 67734743532529. The next prime is 67734743532593. The reversal of 67734743532544 is 44523534743776.

The square root of 67734743532544 is 8230112.

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

It is a super-2 number, since 2×67734743532544² (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.

Its product of digits (711244800) is a multiple of the sum of its prime divisors (343).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 298390940559 + ... + 298390940785.

Almost surely, 2^{67734743532544} is an apocalyptic number.

67734743532544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

67734743532544 is the 8230112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67734743532544

67734743532544 is an abundant number, since it is smaller than the sum of its proper divisors (83221014677447).

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

67734743532544 is an equidigital number, since it uses as much as digits as its factorization.

67734743532544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 343 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 64.

67734743532544 divided by its sum of digits (64) gives a square (1058355367696 = 1028764²).

The spelling of 67734743532544 in words is "sixty-seven trillion, seven hundred thirty-four billion, seven hundred forty-three million, five hundred thirty-two thousand, five hundred forty-four".