1964421849600 has 1200 divisors, whose sum is σ = 8467541489088. Its totient is φ = 440452546560.

The previous prime is 1964421849587. The next prime is 1964421849629. The reversal of 1964421849600 is 69481244691.

1964421849600 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 4 + 21 + 8 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 384650247 + ... + 384655353.

Almost surely, 2^{1964421849600} is an apocalyptic number.

1964421849600 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 1964421849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233770744544).

1964421849600 is an abundant number, since it is smaller than the sum of its proper divisors (6503119639488).

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

1964421849600 is an equidigital number, since it uses as much as digits as its factorization.

1964421849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5207 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1964421849600 in words is "one trillion, nine hundred sixty-four billion, four hundred twenty-one million, eight hundred forty-nine thousand, six hundred".