1396768665600 has 1872 divisors, whose sum is σ = 6477301259520. Its totient is φ = 290237644800.

The previous prime is 1396768665587. The next prime is 1396768665613. The reversal of 1396768665600 is 65668676931.

It is a happy number.

1396768665600 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 7 + 6 + 8 + 66 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1396768665587) and next prime (1396768665613).

It is a super-3 number, since 3×1396768665600³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126978969595 + ... + 126978969605.

Almost surely, 2^{1396768665600} is an apocalyptic number.

1396768665600 is a gapful number since it is divisible by the number (10) 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 1396768665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238650629760).

1396768665600 is an abundant number, since it is smaller than the sum of its proper divisors (5080532593920).

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

1396768665600 is an frugal number, since it uses more digits than its factorization.

1396768665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 1396768665600 in words is "one trillion, three hundred ninety-six billion, seven hundred sixty-eight million, six hundred sixty-five thousand, six hundred".