4640842480464 has 160 divisors (see below), whose sum is σ = 13892407495680. Its totient is φ = 1481612083200.

The previous prime is 4640842480441. The next prime is 4640842480541.

4640842480464 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 84 + 24 + 80 + 464 = 666.

4640842480464 is nontrivially palindromic in base 10.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4640842480464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487257 + ... + 3085304.

It is an arithmetic number, because the mean of its divisors is an integer number (86827546848).

Almost surely, 2^{4640842480464} 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 4640842480464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946203747840).

4640842480464 is an abundant number, since it is smaller than the sum of its proper divisors (9251565015216).

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

4640842480464 is a wasteful number, since it uses less digits than its factorization.

4640842480464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572706 (or 3572694 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 54.

The spelling of 4640842480464 in words is "four trillion, six hundred forty billion, eight hundred forty-two million, four hundred eighty thousand, four hundred sixty-four".