42973704864 has 144 divisors (see below), whose sum is σ = 133569596160. Its totient is φ = 13046999040.

The previous prime is 42973704821. The next prime is 42973704877. The reversal of 42973704864 is 46840737924.

42973704864 is a `hidden beast` number, since 4 + 2 + 97 + 3 + 70 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42973704864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10207 + ... + 293345.

It is an arithmetic number, because the mean of its divisors is an integer number (927566640).

Almost surely, 2^42973704864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42973704864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66784798080).

42973704864 is an abundant number, since it is smaller than the sum of its proper divisors (90595891296).

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

42973704864 is a wasteful number, since it uses less digits than its factorization.

42973704864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283203 (or 283192 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 42973704864 in words is "forty-two billion, nine hundred seventy-three million, seven hundred four thousand, eight hundred sixty-four".