67964820480 has 264 divisors, whose sum is σ = 241867166112. Its totient is φ = 17633673216.

The previous prime is 67964820479. The next prime is 67964820481. The reversal of 67964820480 is 8402846976.

It is an interprime number because it is at equal distance from previous prime (67964820479) and next prime (67964820481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67964820481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1685029 + ... + 1724891.

It is an arithmetic number, because the mean of its divisors is an integer number (916163508).

Almost surely, 2^67964820480 is an apocalyptic number.

67964820480 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 67964820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120933583056).

67964820480 is an abundant number, since it is smaller than the sum of its proper divisors (173902345632).

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

67964820480 is a wasteful number, since it uses less digits than its factorization.

67964820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39931 (or 39910 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 67964820480 in words is "sixty-seven billion, nine hundred sixty-four million, eight hundred twenty thousand, four hundred eighty".