67829778276480 has 1280 divisors, whose sum is σ = 285752900252160. Its totient is φ = 15146928046080.

The previous prime is 67829778276443. The next prime is 67829778276493. The reversal of 67829778276480 is 8467287792876.

It is a happy number.

67829778276480 is a `hidden beast` number, since 67 + 8 + 2 + 9 + 7 + 7 + 8 + 2 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 67829778276480.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 455547324 + ... + 455696196.

It is an arithmetic number, because the mean of its divisors is an integer number (223244453322).

Almost surely, 2^{67829778276480} is an apocalyptic number.

67829778276480 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 67829778276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142876450126080).

67829778276480 is an abundant number, since it is smaller than the sum of its proper divisors (217923121975680).

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

67829778276480 is a wasteful number, since it uses less digits than its factorization.

67829778276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148979 (or 148958 counting only the distinct ones).

The product of its (nonzero) digits is 6372753408, while the sum is 81.

The spelling of 67829778276480 in words is "sixty-seven trillion, eight hundred twenty-nine billion, seven hundred seventy-eight million, two hundred seventy-six thousand, four hundred eighty".