649079405820 has 144 divisors (see below), whose sum is σ = 2019627110592. Its totient is φ = 168637486080.

The previous prime is 649079405771. The next prime is 649079405831. The reversal of 649079405820 is 28504970946.

649079405820 is a `hidden beast` number, since 6 + 4 + 90 + 79 + 405 + 82 + 0 = 666.

649079405820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5424154 + ... + 5542526.

It is an arithmetic number, because the mean of its divisors is an integer number (14025188268).

Almost surely, 2^649079405820 is an apocalyptic number.

649079405820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649079405820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009813555296).

649079405820 is an abundant number, since it is smaller than the sum of its proper divisors (1370547704772).

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

649079405820 is a wasteful number, since it uses less digits than its factorization.

649079405820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119172 (or 119167 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 649079405820 in words is "six hundred forty-nine billion, seventy-nine million, four hundred five thousand, eight hundred twenty".