4178364922368 has 1440 divisors, whose sum is σ = 16363050447744. Its totient is φ = 1036351438848.

The previous prime is 4178364922357. The next prime is 4178364922429. The reversal of 4178364922368 is 8632294638714.

4178364922368 is a `hidden beast` number, since 4 + 1 + 7 + 83 + 6 + 492 + 2 + 3 + 68 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3272015746 + ... + 3272017022.

Almost surely, 2^{4178364922368} is an apocalyptic number.

4178364922368 is a gapful number since it is divisible by the number (48) 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 4178364922368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181525223872).

4178364922368 is an abundant number, since it is smaller than the sum of its proper divisors (12184685525376).

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

4178364922368 is a wasteful number, since it uses less digits than its factorization.

4178364922368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1319 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 4178364922368 in words is "four trillion, one hundred seventy-eight billion, three hundred sixty-four million, nine hundred twenty-two thousand, three hundred sixty-eight".