1327964400 has 180 divisors, whose sum is σ = 5266848912. Its totient is φ = 303528960.

The previous prime is 1327964383. The next prime is 1327964411. The reversal of 1327964400 is 44697231.

1327964400 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 9 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 1149 + ... + 51548.

Almost surely, 2^1327964400 is an apocalyptic number.

1327964400 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 1327964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633424456).

1327964400 is an abundant number, since it is smaller than the sum of its proper divisors (3938884512).

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

1327964400 is a wasteful number, since it uses less digits than its factorization.

1327964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52728 (or 52714 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1327964400 is about 36441.2458623467. The cubic root of 1327964400 is about 1099.1631100044.

The spelling of 1327964400 in words is "one billion, three hundred twenty-seven million, nine hundred sixty-four thousand, four hundred".