1375856640 has 144 divisors (see below), whose sum is σ = 4768791300. Its totient is φ = 366870528.

The previous prime is 1375856617. The next prime is 1375856641. The reversal of 1375856640 is 466585731.

1375856640 is a `hidden beast` number, since 1 + 3 + 7 + 585 + 6 + 64 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1351885824 + 23970816 = 36768^2 + 4896^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375856641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84696 + ... + 99624.

Almost surely, 2^1375856640 is an apocalyptic number.

1375856640 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 1375856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384395650).

1375856640 is an abundant number, since it is smaller than the sum of its proper divisors (3392934660).

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

1375856640 is a wasteful number, since it uses less digits than its factorization.

1375856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14962 (or 14939 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1375856640 is about 37092.5415683531. The cubic root of 1375856640 is about 1112.2209246542.

The spelling of 1375856640 in words is "one billion, three hundred seventy-five million, eight hundred fifty-six thousand, six hundred forty".