67654050816 has 704 divisors, whose sum is σ = 224118005760. Its totient is φ = 17891328000.

The previous prime is 67654050811. The next prime is 67654050829. The reversal of 67654050816 is 61805045676.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (67654050811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516443071 + ... + 516443201.

It is an arithmetic number, because the mean of its divisors is an integer number (318349440).

Almost surely, 2^67654050816 is an apocalyptic number.

67654050816 is a gapful number since it is divisible by the number (66) 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 67654050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112059002880).

67654050816 is an abundant number, since it is smaller than the sum of its proper divisors (156463954944).

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

67654050816 is a wasteful number, since it uses less digits than its factorization.

67654050816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 67654050816 in words is "sixty-seven billion, six hundred fifty-four million, fifty thousand, eight hundred sixteen".