1364872663008 has 432 divisors, whose sum is σ = 4141526538240. Its totient is φ = 426254400000.

The previous prime is 1364872663001. The next prime is 1364872663069. The reversal of 1364872663008 is 8003662784631.

1364872663008 is a `hidden beast` number, since 1 + 36 + 48 + 7 + 266 + 300 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364872663001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1817406633 + ... + 1817407383.

Almost surely, 2^{1364872663008} is an apocalyptic number.

1364872663008 is a gapful number since it is divisible by the number (18) 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 1364872663008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070763269120).

1364872663008 is an abundant number, since it is smaller than the sum of its proper divisors (2776653875232).

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

1364872663008 is a wasteful number, since it uses less digits than its factorization.

1364872663008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1364872663008 in words is "one trillion, three hundred sixty-four billion, eight hundred seventy-two million, six hundred sixty-three thousand, eight".