478918918237464 has 768 divisors, whose sum is σ = 1456226176204800. Its totient is φ = 141556410777600.

The previous prime is 478918918237453. The next prime is 478918918237471. The reversal of 478918918237464 is 464732819819874.

478918918237464 is a `hidden beast` number, since 4 + 7 + 8 + 9 + 1 + 8 + 9 + 182 + 374 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35748214414 + ... + 35748227810.

It is an arithmetic number, because the mean of its divisors is an integer number (1896127833600).

Almost surely, 2^{478918918237464} 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 478918918237464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728113088102400).

478918918237464 is an abundant number, since it is smaller than the sum of its proper divisors (977307257967336).

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

478918918237464 is a wasteful number, since it uses less digits than its factorization.

478918918237464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13744 (or 13737 counting only the distinct ones).

The product of its digits is 4682022912, while the sum is 81.

The spelling of 478918918237464 in words is "four hundred seventy-eight trillion, nine hundred eighteen billion, nine hundred eighteen million, two hundred thirty-seven thousand, four hundred sixty-four".