1367545420800 has 1320 divisors, whose sum is σ = 5520142705616. Its totient is φ = 332519178240.

The previous prime is 1367545420781. The next prime is 1367545420823. The reversal of 1367545420800 is 80245457631.

1367545420800 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 545 + 4 + 20 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2614809339 + ... + 2614809861.

Almost surely, 2^{1367545420800} is an apocalyptic number.

1367545420800 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 1367545420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760071352808).

1367545420800 is an abundant number, since it is smaller than the sum of its proper divisors (4152597284816).

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

1367545420800 is a wasteful number, since it uses less digits than its factorization.

1367545420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1367545420800 in words is "one trillion, three hundred sixty-seven billion, five hundred forty-five million, four hundred twenty thousand, eight hundred".