1965680006400 has 1080 divisors, whose sum is σ = 8060148679968. Its totient is φ = 468633600000.

The previous prime is 1965680006357. The next prime is 1965680006413. The reversal of 1965680006400 is 46000865691.

1965680006400 is a `hidden beast` number, since 196 + 56 + 8 + 0 + 0 + 0 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

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 119 ways as a sum of consecutive naturals, for example, 347843575 + ... + 347849225.

Almost surely, 2^{1965680006400} is an apocalyptic number.

1965680006400 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 1965680006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030074339984).

1965680006400 is an abundant number, since it is smaller than the sum of its proper divisors (6094468673568).

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

1965680006400 is a wasteful number, since it uses less digits than its factorization.

1965680006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1965680006400 in words is "one trillion, nine hundred sixty-five billion, six hundred eighty million, six thousand, four hundred".