1964755493568 has 448 divisors, whose sum is σ = 7043838592000. Its totient is φ = 524523921408.

The previous prime is 1964755493543. The next prime is 1964755493579. The reversal of 1964755493568 is 8653945574691.

It is a happy number.

1964755493568 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 7 + 5 + 54 + 9 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1964755493496 and 1964755493505.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16718598 + ... + 16835706.

It is an arithmetic number, because the mean of its divisors is an integer number (15722854000).

Almost surely, 2^{1964755493568} is an apocalyptic number.

1964755493568 is a gapful number since it is divisible by the number (18) 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 1964755493568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521919296000).

1964755493568 is an abundant number, since it is smaller than the sum of its proper divisors (5079083098432).

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

1964755493568 is a wasteful number, since it uses less digits than its factorization.

1964755493568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117229 (or 117213 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 72.

The spelling of 1964755493568 in words is "one trillion, nine hundred sixty-four billion, seven hundred fifty-five million, four hundred ninety-three thousand, five hundred sixty-eight".