1964328901920 has 1152 divisors, whose sum is σ = 8848030464000. Its totient is φ = 384455393280.

The previous prime is 1964328901831. The next prime is 1964328901921. The reversal of 1964328901920 is 291098234691.

1964328901920 is a `hidden beast` number, since 1 + 96 + 432 + 8 + 90 + 19 + 20 = 666.

It is a super-3 number, since 3×1964328901920³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1964328901921) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 377100276 + ... + 377105484.

It is an arithmetic number, because the mean of its divisors is an integer number (7680582000).

Almost surely, 2^{1964328901920} is an apocalyptic number.

1964328901920 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 1964328901920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424015232000).

1964328901920 is an abundant number, since it is smaller than the sum of its proper divisors (6883701562080).

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

1964328901920 is a wasteful number, since it uses less digits than its factorization.

1964328901920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1964328901920 in words is "one trillion, nine hundred sixty-four billion, three hundred twenty-eight million, nine hundred one thousand, nine hundred twenty".