67101696000 has 560 divisors, whose sum is σ = 250488861480. Its totient is φ = 17871667200.

The previous prime is 67101695963. The next prime is 67101696007. The reversal of 67101696000 is 69610176.

It can be written as a sum of positive squares in 4 ways, for example, as 33761857536 + 33339838464 = 183744^2 + 182592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67101696007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82943596 + ... + 82944404.

Almost surely, 2^67101696000 is an apocalyptic number.

67101696000 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 67101696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125244430740).

67101696000 is an abundant number, since it is smaller than the sum of its proper divisors (183387165480).

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

67101696000 is an frugal number, since it uses more digits than its factorization.

67101696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 67101696000 in words is "sixty-seven billion, one hundred one million, six hundred ninety-six thousand".