1364079987200 has 480 divisors, whose sum is σ = 3965803505664. Its totient is φ = 455243120640.

The previous prime is 1364079987169. The next prime is 1364079987217. The reversal of 1364079987200 is 27899704631.

It is a super-3 number, since 3×1364079987200³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1876313237 + ... + 1876313963.

Almost surely, 2^{1364079987200} is an apocalyptic number.

1364079987200 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 1364079987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982901752832).

1364079987200 is an abundant number, since it is smaller than the sum of its proper divisors (2601723518464).

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

1364079987200 is an equidigital number, since it uses as much as digits as its factorization.

1364079987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 56.

The spelling of 1364079987200 in words is "one trillion, three hundred sixty-four billion, seventy-nine million, nine hundred eighty-seven thousand, two hundred".