1964312280000 has 420 divisors, whose sum is σ = 8040788561520. Its totient is φ = 448985088000.

The previous prime is 1964312279983. The next prime is 1964312280019. The reversal of 1964312280000 is 822134691.

1964312280000 is a `hidden beast` number, since 1 + 9 + 64 + 312 + 280 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2130256 + ... + 2909744.

Almost surely, 2^{1964312280000} is an apocalyptic number.

1964312280000 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 1964312280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020394280760).

1964312280000 is an abundant number, since it is smaller than the sum of its proper divisors (6076476281520).

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

1964312280000 is an equidigital number, since it uses as much as digits as its factorization.

1964312280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779534 (or 779506 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1964312280000 in words is "one trillion, nine hundred sixty-four billion, three hundred twelve million, two hundred eighty thousand".