1375660800 has 432 divisors, whose sum is σ = 5322576000. Its totient is φ = 346705920.

The previous prime is 1375660799. The next prime is 1375660861. The reversal of 1375660800 is 80665731.

1375660800 is a `hidden beast` number, since 13 + 7 + 566 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3282991 + ... + 3283409.

Almost surely, 2^1375660800 is an apocalyptic number.

1375660800 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 1375660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661288000).

1375660800 is an abundant number, since it is smaller than the sum of its proper divisors (3946915200).

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

1375660800 is a wasteful number, since it uses less digits than its factorization.

1375660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1375660800 is about 37089.9015905947. The cubic root of 1375660800 is about 1112.1681508222.

The spelling of 1375660800 in words is "one billion, three hundred seventy-five million, six hundred sixty thousand, eight hundred".