20482736820 has 384 divisors, whose sum is σ = 74646835200. Its totient is φ = 4075204608.

The previous prime is 20482736803. The next prime is 20482736843. The reversal of 20482736820 is 2863728402.

It is a super-3 number, since 3×20482736820³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35997496 + ... + 35998064.

It is an arithmetic number, because the mean of its divisors is an integer number (194392800).

Almost surely, 2^20482736820 is an apocalyptic number.

20482736820 is a gapful number since it is divisible by the number (20) 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 20482736820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37323417600).

20482736820 is an abundant number, since it is smaller than the sum of its proper divisors (54164098380).

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

20482736820 is a wasteful number, since it uses less digits than its factorization.

20482736820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 20482736820 in words is "twenty billion, four hundred eighty-two million, seven hundred thirty-six thousand, eight hundred twenty".