3964650946560 has 192 divisors, whose sum is σ = 13743918674460. Its totient is φ = 1057239859200.

The previous prime is 3964650946559. The next prime is 3964650946579. The reversal of 3964650946560 is 656490564693.

It is a happy number.

3964650946560 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 6 + 509 + 4 + 65 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3702638002176 + 262012944384 = 1924224^2 + 511872^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130210 + ... + 2818910.

Almost surely, 2^{3964650946560} is an apocalyptic number.

3964650946560 is a gapful number since it is divisible by the number (30) 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 3964650946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871959337230).

3964650946560 is an abundant number, since it is smaller than the sum of its proper divisors (9779267727900).

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

3964650946560 is an equidigital number, since it uses as much as digits as its factorization.

3964650946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688742 (or 2688711 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 3964650946560 in words is "three trillion, nine hundred sixty-four billion, six hundred fifty million, nine hundred forty-six thousand, five hundred sixty".