67950561420 has 432 divisors, whose sum is σ = 251239322880. Its totient is φ = 15101427456.

The previous prime is 67950561407. The next prime is 67950561421. The reversal of 67950561420 is 2416505976.

67950561420 is a `hidden beast` number, since 6 + 7 + 9 + 5 + 0 + 5 + 614 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67950561421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46572651 + ... + 46574109.

Almost surely, 2^67950561420 is an apocalyptic number.

67950561420 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 67950561420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125619661440).

67950561420 is an abundant number, since it is smaller than the sum of its proper divisors (183288761460).

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

67950561420 is a wasteful number, since it uses less digits than its factorization.

67950561420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 67950561420 in words is "sixty-seven billion, nine hundred fifty million, five hundred sixty-one thousand, four hundred twenty".