67796849664 has 220 divisors, whose sum is σ = 205246327924. Its totient is φ = 22287384576.

The previous prime is 67796849651. The next prime is 67796849671. The reversal of 67796849664 is 46694869776.

67796849664 is a `hidden beast` number, since 6 + 7 + 79 + 6 + 8 + 496 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26571608064 + 41225241600 = 163008^2 + 203040^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 67796849592 and 67796849601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6049314 + ... + 6060510.

Almost surely, 2^67796849664 is an apocalyptic number.

67796849664 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 67796849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102623163962).

67796849664 is an abundant number, since it is smaller than the sum of its proper divisors (137449478260).

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

67796849664 is a wasteful number, since it uses less digits than its factorization.

67796849664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11302 (or 11275 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 67796849664 in words is "sixty-seven billion, seven hundred ninety-six million, eight hundred forty-nine thousand, six hundred sixty-four".