1379628427968 has 560 divisors, whose sum is σ = 4781451147264. Its totient is φ = 385169541120.

The previous prime is 1379628427963. The next prime is 1379628427997. The reversal of 1379628427968 is 8697248269731.

1379628427968 is a `hidden beast` number, since 1 + 3 + 7 + 96 + 28 + 427 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1379628427896 and 1379628427905.

It is not an unprimeable number, because it can be changed into a prime (1379628427963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 521203221 + ... + 521205867.

Almost surely, 2^{1379628427968} is an apocalyptic number.

1379628427968 is a gapful number since it is divisible by the number (18) 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 1379628427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390725573632).

1379628427968 is an abundant number, since it is smaller than the sum of its proper divisors (3401822719296).

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

1379628427968 is a wasteful number, since it uses less digits than its factorization.

1379628427968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 2983 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 1379628427968 in words is "one trillion, three hundred seventy-nine billion, six hundred twenty-eight million, four hundred twenty-seven thousand, nine hundred sixty-eight".