4718374524864 has 1680 divisors, whose sum is σ = 19096323552768. Its totient is φ = 1120863744000.

The previous prime is 4718374524817. The next prime is 4718374524901. The reversal of 4718374524864 is 4684254738174.

It is a happy number.

4718374524864 is a `hidden beast` number, since 4 + 7 + 1 + 83 + 7 + 452 + 48 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7477613829 + ... + 7477614459.

Almost surely, 2^{4718374524864} is an apocalyptic number.

4718374524864 is a gapful number since it is divisible by the number (44) 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 4718374524864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9548161776384).

4718374524864 is an abundant number, since it is smaller than the sum of its proper divisors (14377949027904).

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

4718374524864 is a wasteful number, since it uses less digits than its factorization.

4718374524864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 798 counting only the distinct ones).

The product of its digits is 144506880, while the sum is 63.

The spelling of 4718374524864 in words is "four trillion, seven hundred eighteen billion, three hundred seventy-four million, five hundred twenty-four thousand, eight hundred sixty-four".