2706820162632 has 112 divisors (see below), whose sum is σ = 7611109412940. Its totient is φ = 902076715008.

The previous prime is 2706820162621. The next prime is 2706820162637. The reversal of 2706820162632 is 2362610286072.

2706820162632 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 8 + 2 + 0 + 1 + 6 + 2 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2091106876356 + 615713286276 = 1446066^2 + 784674^2 .

It is a super-2 number, since 2×2706820162632² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2706820162637) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28044568 + ... + 28140920.

Almost surely, 2^{2706820162632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2706820162632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805554706470).

2706820162632 is an abundant number, since it is smaller than the sum of its proper divisors (4904289250308).

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

2706820162632 is an equidigital number, since it uses as much as digits as its factorization.

2706820162632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101194 (or 101175 counting only the distinct ones).

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

The spelling of 2706820162632 in words is "two trillion, seven hundred six billion, eight hundred twenty million, one hundred sixty-two thousand, six hundred thirty-two".