67634417664 has 416 divisors, whose sum is σ = 222926256000. Its totient is φ = 20089405440.

The previous prime is 67634417579. The next prime is 67634417797. The reversal of 67634417664 is 46671443676.

67634417664 is a `hidden beast` number, since 6 + 76 + 3 + 441 + 76 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 67634417664.

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 31 ways as a sum of consecutive naturals, for example, 64474612 + ... + 64475660.

Almost surely, 2^67634417664 is an apocalyptic number.

67634417664 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 67634417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111463128000).

67634417664 is an abundant number, since it is smaller than the sum of its proper divisors (155291838336).

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

67634417664 is a wasteful number, since it uses less digits than its factorization.

67634417664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1118 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 67634417664 in words is "sixty-seven billion, six hundred thirty-four million, four hundred seventeen thousand, six hundred sixty-four".