67626807496704 has 273 divisors, whose sum is σ = 202805516749683. Its totient is φ = 22537532399616.

The previous prime is 67626807496649. The next prime is 67626807496757. The reversal of 67626807496704 is 40769470862676.

The square root of 67626807496704 is 8223552.

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

67626807496704 is a `hidden beast` number, since 6 + 7 + 6 + 2 + 68 + 0 + 7 + 496 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 14210295477 + ... + 14210300235.

Almost surely, 2^{67626807496704} is an apocalyptic number.

67626807496704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

67626807496704 is the 8223552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67626807496704

67626807496704 is an abundant number, since it is smaller than the sum of its proper divisors (135178709252979).

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

67626807496704 is an frugal number, since it uses more digits than its factorization.

67626807496704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9560 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 67626807496704 in words is "sixty-seven trillion, six hundred twenty-six billion, eight hundred seven million, four hundred ninety-six thousand, seven hundred four".