67774788480 has 512 divisors, whose sum is σ = 257177871360. Its totient is φ = 14858256384.

The previous prime is 67774788449. The next prime is 67774788481. The reversal of 67774788480 is 8488747776.

67774788480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67774788481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36300507 + ... + 36302373.

It is an arithmetic number, because the mean of its divisors is an integer number (502300530).

Almost surely, 2^67774788480 is an apocalyptic number.

67774788480 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 67774788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128588935680).

67774788480 is an abundant number, since it is smaller than the sum of its proper divisors (189403082880).

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

67774788480 is a wasteful number, since it uses less digits than its factorization.

67774788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 118013952, while the sum is 66.

The spelling of 67774788480 in words is "sixty-seven billion, seven hundred seventy-four million, seven hundred eighty-eight thousand, four hundred eighty".