2973142706688 has 960 divisors, whose sum is σ = 11413456158720. Its totient is φ = 747242496000.

The previous prime is 2973142706687. The next prime is 2973142706707. The reversal of 2973142706688 is 8866072413792.

2973142706688 is a `hidden beast` number, since 2 + 9 + 73 + 1 + 427 + 0 + 66 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2973142706687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362972673 + ... + 362980863.

It is an arithmetic number, because the mean of its divisors is an integer number (11889016832).

Almost surely, 2^{2973142706688} is an apocalyptic number.

2973142706688 is a gapful number since it is divisible by the number (28) 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 2973142706688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706728079360).

2973142706688 is an abundant number, since it is smaller than the sum of its proper divisors (8440313452032).

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

2973142706688 is a wasteful number, since it uses less digits than its factorization.

2973142706688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 2973142706688 in words is "two trillion, nine hundred seventy-three billion, one hundred forty-two million, seven hundred six thousand, six hundred eighty-eight".