1375566720 has 384 divisors, whose sum is σ = 5000970240. Its totient is φ = 321024000.

The previous prime is 1375566691. The next prime is 1375566737. The reversal of 1375566720 is 276655731.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 7201825 + ... + 7202015.

It is an arithmetic number, because the mean of its divisors is an integer number (13023360).

Almost surely, 2^1375566720 is an apocalyptic number.

1375566720 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 1375566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500485120).

1375566720 is an abundant number, since it is smaller than the sum of its proper divisors (3625403520).

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

1375566720 is a wasteful number, since it uses less digits than its factorization.

1375566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 1375566720 is about 37088.6332991659. The cubic root of 1375566720 is about 1112.1427969062.

The spelling of 1375566720 in words is "one billion, three hundred seventy-five million, five hundred sixty-six thousand, seven hundred twenty".