67721027040 has 288 divisors, whose sum is σ = 242514155520. Its totient is φ = 17175763968.

The previous prime is 67721026927. The next prime is 67721027051. The reversal of 67721027040 is 4072012776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×67721027040² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 67721026986 and 67721027004.

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, 5922769 + ... + 5934191.

It is an arithmetic number, because the mean of its divisors is an integer number (842063040).

Almost surely, 2^67721027040 is an apocalyptic number.

67721027040 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 67721027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121257077760).

67721027040 is an abundant number, since it is smaller than the sum of its proper divisors (174793128480).

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

67721027040 is a wasteful number, since it uses less digits than its factorization.

67721027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11646 (or 11635 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 67721027040 in words is "sixty-seven billion, seven hundred twenty-one million, twenty-seven thousand, forty".