20640091248 has 720 divisors, whose sum is σ = 75724572960. Its totient is φ = 5361334272.

The previous prime is 20640091217. The next prime is 20640091261. The reversal of 20640091248 is 84219004602.

20640091248 is a `hidden beast` number, since 2 + 0 + 6 + 400 + 9 + 1 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 282740940 + ... + 282741012.

It is an arithmetic number, because the mean of its divisors is an integer number (105173018).

Almost surely, 2^20640091248 is an apocalyptic number.

20640091248 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 20640091248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37862286480).

20640091248 is an abundant number, since it is smaller than the sum of its proper divisors (55084481712).

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

20640091248 is a wasteful number, since it uses less digits than its factorization.

20640091248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20640091248 in words is "twenty billion, six hundred forty million, ninety-one thousand, two hundred forty-eight".