1368269438976 has 720 divisors, whose sum is σ = 4522789689600. Its totient is φ = 409915883520.

The previous prime is 1368269438953. The next prime is 1368269438999. The reversal of 1368269438976 is 6798349628631.

1368269438976 is a `hidden beast` number, since 1 + 3 + 68 + 2 + 69 + 438 + 9 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (1368269438953) and next prime (1368269438999).

It is a super-2 number, since 2×1368269438976² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6875725725 + ... + 6875725923.

Almost surely, 2^{1368269438976} is an apocalyptic number.

1368269438976 is a gapful number since it is divisible by the number (16) 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 1368269438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261394844800).

1368269438976 is an abundant number, since it is smaller than the sum of its proper divisors (3154520250624).

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

1368269438976 is an equidigital number, since it uses as much as digits as its factorization.

1368269438976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 372 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 1368269438976 in words is "one trillion, three hundred sixty-eight billion, two hundred sixty-nine million, four hundred thirty-eight thousand, nine hundred seventy-six".