27762068358 has 64 divisors (see below), whose sum is σ = 64002916800. Its totient is φ = 8909429760.

The previous prime is 27762068357. The next prime is 27762068393. The reversal of 27762068358 is 85386026772.

27762068358 is a `hidden beast` number, since 2 + 7 + 7 + 620 + 6 + 8 + 3 + 5 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27762068351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527688 + ... + 577908.

It is an arithmetic number, because the mean of its divisors is an integer number (1000045575).

Almost surely, 2^27762068358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27762068358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32001458400).

27762068358 is an abundant number, since it is smaller than the sum of its proper divisors (36240848442).

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

27762068358 is a wasteful number, since it uses less digits than its factorization.

27762068358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50614 (or 50608 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

It can be divided in two parts, 27762068 and 358, that added together give a triangular number (27762426 = T₇₄₅₁).

The spelling of 27762068358 in words is "twenty-seven billion, seven hundred sixty-two million, sixty-eight thousand, three hundred fifty-eight".