2916663298560 has 720 divisors, whose sum is σ = 11134954270440. Its totient is φ = 705036288000.

The previous prime is 2916663298547. The next prime is 2916663298573. The reversal of 2916663298560 is 658923666192.

It is an interprime number because it is at equal distance from previous prime (2916663298547) and next prime (2916663298573).

It can be written as a sum of positive squares in 4 ways, for example, as 2867251343616 + 49411954944 = 1693296^2 + 222288^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1117922536 + ... + 1117925144.

Almost surely, 2^{2916663298560} is an apocalyptic number.

2916663298560 is a gapful number since it is divisible by the number (20) 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 2916663298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567477135220).

2916663298560 is an abundant number, since it is smaller than the sum of its proper divisors (8218290971880).

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

2916663298560 is a wasteful number, since it uses less digits than its factorization.

2916663298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 2916663298560 in words is "two trillion, nine hundred sixteen billion, six hundred sixty-three million, two hundred ninety-eight thousand, five hundred sixty".