30642284290464 has 144 divisors (see below), whose sum is σ = 108640826199360. Its totient is φ = 7959034874880.

The previous prime is 30642284290439. The next prime is 30642284290489. The reversal of 30642284290464 is 46409248224603.

It is a happy number.

30642284290464 is a `hidden beast` number, since 3 + 0 + 64 + 22 + 84 + 29 + 0 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (30642284290439) and next prime (30642284290489).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30642284290464.

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, 690866269 + ... + 690910620.

It is an arithmetic number, because the mean of its divisors is an integer number (754450181940).

Almost surely, 2^{30642284290464} is an apocalyptic number.

It is an amenable number.

30642284290464 is an abundant number, since it is smaller than the sum of its proper divisors (77998541908896).

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

30642284290464 is a wasteful number, since it uses less digits than its factorization.

30642284290464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381776923 (or 1381776912 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 30642284290464 in words is "thirty trillion, six hundred forty-two billion, two hundred eighty-four million, two hundred ninety thousand, four hundred sixty-four".