1307674368000 has 4032 divisors, whose sum is σ = 6686252969760. Its totient is φ = 250822656000.

The previous prime is 1307674367953. The next prime is 1307674368043. The reversal of 1307674368000 is 8634767031.

It is a factorial (1307674368000 = 15 ! = 1 ⋅ 2 ⋅ 3 ⋅ 4 ⋅ 5 ⋅ 6 ⋅ 7 ⋅ 8 ⋅ 9 ⋅ 10 ⋅ 11 ⋅ 12 ⋅ 13 ⋅ 14 ⋅ 15 ), and thus also a Jordan-Polya number.

1307674368000 is a `hidden beast` number, since 130 + 7 + 6 + 7 + 436 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 335 ways as a sum of consecutive naturals, for example, 100590335994 + ... + 100590336006.

Almost surely, 2^{1307674368000} is an apocalyptic number.

1307674368000 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 1307674368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343126484880).

1307674368000 is an abundant number, since it is smaller than the sum of its proper divisors (5378578601760).

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

1307674368000 is an equidigital number, since it uses as much as digits as its factorization.

1307674368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1307674368000 in words is "one trillion, three hundred seven billion, six hundred seventy-four million, three hundred sixty-eight thousand".