1367432478720 has 2880 divisors, whose sum is σ = 6540901355520. Its totient is φ = 267544166400.

The previous prime is 1367432478719. The next prime is 1367432478781. The reversal of 1367432478720 is 278742347631.

1367432478720 is a `hidden beast` number, since 1 + 3 + 6 + 74 + 32 + 478 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36957634542 + ... + 36957634578.

It is an arithmetic number, because the mean of its divisors is an integer number (2271146304).

Almost surely, 2^{1367432478720} is an apocalyptic number.

1367432478720 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 1367432478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270450677760).

1367432478720 is an abundant number, since it is smaller than the sum of its proper divisors (5173468876800).

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

1367432478720 is a wasteful number, since it uses less digits than its factorization.

1367432478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 1367432478720 in words is "one trillion, three hundred sixty-seven billion, four hundred thirty-two million, four hundred seventy-eight thousand, seven hundred twenty".