20647948915440 has 3840 divisors, whose sum is σ = 100213265940480. Its totient is φ = 3845947392000.

The previous prime is 20647948915439. The next prime is 20647948915511. The reversal of 20647948915440 is 4451984974602.

20647948915440 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 7 + 9 + 4 + 89 + 1 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 44789476810 + ... + 44789477270.

It is an arithmetic number, because the mean of its divisors is an integer number (26097204672).

Almost surely, 2^{20647948915440} is an apocalyptic number.

20647948915440 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 20647948915440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50106632970240).

20647948915440 is an abundant number, since it is smaller than the sum of its proper divisors (79565317025040).

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

20647948915440 is a wasteful number, since it uses less digits than its factorization.

20647948915440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 20647948915440 in words is "twenty trillion, six hundred forty-seven billion, nine hundred forty-eight million, nine hundred fifteen thousand, four hundred forty".