1375208640 has 336 divisors, whose sum is σ = 5318808768. Its totient is φ = 323592192.

The previous prime is 1375208633. The next prime is 1375208641. The reversal of 1375208640 is 468025731.

1375208640 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 2 + 0 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1375208595 and 1375208604.

It is not an unprimeable number, because it can be changed into a prime (1375208641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860322 + ... + 861918.

It is an arithmetic number, because the mean of its divisors is an integer number (15829788).

Almost surely, 2^1375208640 is an apocalyptic number.

1375208640 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 1375208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659404384).

1375208640 is an abundant number, since it is smaller than the sum of its proper divisors (3943600128).

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

1375208640 is a wasteful number, since it uses less digits than its factorization.

1375208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1375208640 is about 37083.8056299512. The cubic root of 1375208640 is about 1112.0462862227.

The spelling of 1375208640 in words is "one billion, three hundred seventy-five million, two hundred eight thousand, six hundred forty".