1375730667360 has 768 divisors, whose sum is σ = 5608621025280. Its totient is φ = 308442193920.

The previous prime is 1375730667293. The next prime is 1375730667403. The reversal of 1375730667360 is 637660375731.

1375730667360 is a `hidden beast` number, since 1 + 3 + 7 + 573 + 0 + 6 + 6 + 7 + 3 + 60 = 666.

It is a super-2 number, since 2×1375730667360² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1375730667297 and 1375730667306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 861446082 + ... + 861447678.

It is an arithmetic number, because the mean of its divisors is an integer number (7302891960).

Almost surely, 2^{1375730667360} is an apocalyptic number.

1375730667360 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 1375730667360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804310512640).

1375730667360 is an abundant number, since it is smaller than the sum of its proper divisors (4232890357920).

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

1375730667360 is a wasteful number, since it uses less digits than its factorization.

1375730667360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 54.

The spelling of 1375730667360 in words is "one trillion, three hundred seventy-five billion, seven hundred thirty million, six hundred sixty-seven thousand, three hundred sixty".