1008366796800 has 1260 divisors, whose sum is σ = 4103462788656. Its totient is φ = 243656294400.

The previous prime is 1008366796769. The next prime is 1008366796837. The reversal of 1008366796800 is 86976638001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3284582247 + ... + 3284582553.

Almost surely, 2^{1008366796800} is an apocalyptic number.

1008366796800 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 1008366796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051731394328).

1008366796800 is an abundant number, since it is smaller than the sum of its proper divisors (3095095991856).

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

1008366796800 is an frugal number, since it uses more digits than its factorization.

1008366796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1008366796800 in words is "one trillion, eight billion, three hundred sixty-six million, seven hundred ninety-six thousand, eight hundred".