3963416002560 has 1680 divisors, whose sum is σ = 17190878880000. Its totient is φ = 856523538432.

The previous prime is 3963416002547. The next prime is 3963416002589. The reversal of 3963416002560 is 652006143693.

3963416002560 is a `hidden beast` number, since 3 + 9 + 6 + 34 + 1 + 600 + 2 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7942717191 + ... + 7942717689.

It is an arithmetic number, because the mean of its divisors is an integer number (10232666000).

Almost surely, 2^{3963416002560} is an apocalyptic number.

3963416002560 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 3963416002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595439440000).

3963416002560 is an abundant number, since it is smaller than the sum of its proper divisors (13227462877440).

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

3963416002560 is an frugal number, since it uses more digits than its factorization.

3963416002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3963416002560 in words is "three trillion, nine hundred sixty-three billion, four hundred sixteen million, two thousand, five hundred sixty".