820848426264 has 48 divisors (see below), whose sum is σ = 2223174676320. Its totient is φ = 273610785600.

The previous prime is 820848426259. The next prime is 820848426301. The reversal of 820848426264 is 462624848028.

820848426264 is a `hidden beast` number, since 8 + 2 + 0 + 8 + 4 + 8 + 4 + 2 + 626 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 820848426264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5626854 + ... + 5770890.

It is an arithmetic number, because the mean of its divisors is an integer number (46316139090).

Almost surely, 2^820848426264 is an apocalyptic number.

It is an amenable number.

820848426264 is an abundant number, since it is smaller than the sum of its proper divisors (1402326250056).

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

820848426264 is a wasteful number, since it uses less digits than its factorization.

820848426264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223200 (or 223193 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 820848426264 in words is "eight hundred twenty billion, eight hundred forty-eight million, four hundred twenty-six thousand, two hundred sixty-four".