63813830274 has 288 divisors, whose sum is σ = 165138255360. Its totient is φ = 17679513600.

The previous prime is 63813830263. The next prime is 63813830321. The reversal of 63813830274 is 47203831836.

63813830274 is a `hidden beast` number, since 638 + 1 + 3 + 8 + 3 + 0 + 2 + 7 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 151576584 + ... + 151577004.

It is an arithmetic number, because the mean of its divisors is an integer number (573396720).

Almost surely, 2^63813830274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63813830274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82569127680).

63813830274 is an abundant number, since it is smaller than the sum of its proper divisors (101324425086).

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

63813830274 is a wasteful number, since it uses less digits than its factorization.

63813830274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 63813830274 in words is "sixty-three billion, eight hundred thirteen million, eight hundred thirty thousand, two hundred seventy-four".