1964357120000 has 520 divisors, whose sum is σ = 5428895197440. Its totient is φ = 704471040000.

The previous prime is 1964357119993. The next prime is 1964357120053. The reversal of 1964357120000 is 217534691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2224639559 + ... + 2224640441.

It is an arithmetic number, because the mean of its divisors is an integer number (10440183072).

Almost surely, 2^{1964357120000} is an apocalyptic number.

1964357120000 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 1964357120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714447598720).

1964357120000 is an abundant number, since it is smaller than the sum of its proper divisors (3464538077440).

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

1964357120000 is an frugal number, since it uses more digits than its factorization.

1964357120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 1964357120000 in words is "one trillion, nine hundred sixty-four billion, three hundred fifty-seven million, one hundred twenty thousand".