20780379648 has 480 divisors, whose sum is σ = 73997763840. Its totient is φ = 5480939520.

The previous prime is 20780379619. The next prime is 20780379661. The reversal of 20780379648 is 84697308702.

20780379648 is a `hidden beast` number, since 207 + 8 + 0 + 379 + 64 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20780379594 and 20780379603.

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, 25127011 + ... + 25127837.

It is an arithmetic number, because the mean of its divisors is an integer number (154162008).

Almost surely, 2^20780379648 is an apocalyptic number.

20780379648 is a gapful number since it is divisible by the number (28) 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 20780379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36998881920).

20780379648 is an abundant number, since it is smaller than the sum of its proper divisors (53217384192).

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

20780379648 is a wasteful number, since it uses less digits than its factorization.

20780379648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 20780379648 in words is "twenty billion, seven hundred eighty million, three hundred seventy-nine thousand, six hundred forty-eight".