820247742028 has 48 divisors (see below), whose sum is σ = 1706701441536. Its totient is φ = 340013367360.

The previous prime is 820247741993. The next prime is 820247742031.

820247742028 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8591076 + ... + 8686027.

It is an arithmetic number, because the mean of its divisors is an integer number (35556280032).

Almost surely, 2^820247742028 is an apocalyptic number.

It is an amenable number.

820247742028 is an abundant number, since it is smaller than the sum of its proper divisors (886453699508).

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

820247742028 is a wasteful number, since it uses less digits than its factorization.

820247742028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17277214 (or 17277212 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 46.

The spelling of 820247742028 in words is "eight hundred twenty billion, two hundred forty-seven million, seven hundred forty-two thousand, twenty-eight".