1280789378064 has 300 divisors, whose sum is σ = 4316845431888. Its totient is φ = 365545353600.

The previous prime is 1280789378047. The next prime is 1280789378087. The reversal of 1280789378064 is 4608739870821.

1280789378064 is a `hidden beast` number, since 128 + 0 + 7 + 89 + 378 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1280789377992 and 1280789378010.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 61651999 + ... + 61672769.

Almost surely, 2^{1280789378064} is an apocalyptic number.

1280789378064 is a gapful number since it is divisible by the number (14) 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 1280789378064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158422715944).

1280789378064 is an abundant number, since it is smaller than the sum of its proper divisors (3036056053824).

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

1280789378064 is a wasteful number, since it uses less digits than its factorization.

1280789378064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21776 (or 21754 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 1280789378064 in words is "one trillion, two hundred eighty billion, seven hundred eighty-nine million, three hundred seventy-eight thousand, sixty-four".