4462786368 has 196 divisors, whose sum is σ = 13607364708. Its totient is φ = 1450690560.

The previous prime is 4462786351. The next prime is 4462786417. The reversal of 4462786368 is 8636872644.

4462786368 is a `hidden beast` number, since 4 + 4 + 6 + 278 + 6 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 752514624 + 3710271744 = 27432^2 + 60912^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1911730 + ... + 1914062.

Almost surely, 2^4462786368 is an apocalyptic number.

4462786368 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 4462786368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803682354).

4462786368 is an abundant number, since it is smaller than the sum of its proper divisors (9144578340).

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

4462786368 is an equidigital number, since it uses as much as digits as its factorization.

4462786368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2379 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 4462786368 is about 66804.0894556613. The cubic root of 4462786368 is about 1646.4000322995.

The spelling of 4462786368 in words is "four billion, four hundred sixty-two million, seven hundred eighty-six thousand, three hundred sixty-eight".