2966874478704 has 400 divisors, whose sum is σ = 8788280076576. Its totient is φ = 966131712000.

The previous prime is 2966874478699. The next prime is 2966874478717. The reversal of 2966874478704 is 4078744786692.

2966874478704 is a `hidden beast` number, since 2 + 9 + 6 + 6 + 87 + 4 + 478 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4232345554 + ... + 4232346254.

Almost surely, 2^{2966874478704} is an apocalyptic number.

2966874478704 is a gapful number since it is divisible by the number (24) 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 2966874478704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394140038288).

2966874478704 is an abundant number, since it is smaller than the sum of its proper divisors (5821405597872).

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

2966874478704 is a wasteful number, since it uses less digits than its factorization.

2966874478704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 2966874478704 in words is "two trillion, nine hundred sixty-six billion, eight hundred seventy-four million, four hundred seventy-eight thousand, seven hundred four".