67821696000 has 528 divisors, whose sum is σ = 247036512528. Its totient is φ = 17891328000.

The previous prime is 67821695983. The next prime is 67821696011. The reversal of 67821696000 is 69612876.

67821696000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 50549428224 + 17272267776 = 224832^2 + 131424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130175740 + ... + 130176260.

Almost surely, 2^67821696000 is an apocalyptic number.

67821696000 is a gapful number since it is divisible by the number (60) 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 67821696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123518256264).

67821696000 is an abundant number, since it is smaller than the sum of its proper divisors (179214816528).

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

67821696000 is a wasteful number, since it uses less digits than its factorization.

67821696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 67821696000 in words is "sixty-seven billion, eight hundred twenty-one million, six hundred ninety-six thousand".