1364672534400 has 1152 divisors, whose sum is σ = 5913607814400. Its totient is φ = 301056860160.

The previous prime is 1364672534383. The next prime is 1364672534417. The reversal of 1364672534400 is 44352764631.

1364672534400 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 6 + 72 + 534 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1364672534383) and next prime (1364672534417).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1364672534400² (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 508635459 + ... + 508638141.

Almost surely, 2^{1364672534400} is an apocalyptic number.

1364672534400 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 1364672534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956803907200).

1364672534400 is an abundant number, since it is smaller than the sum of its proper divisors (4548935280000).

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

1364672534400 is a wasteful number, since it uses less digits than its factorization.

1364672534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 1364672534400 in words is "one trillion, three hundred sixty-four billion, six hundred seventy-two million, five hundred thirty-four thousand, four hundred".