20298305664 has 576 divisors, whose sum is σ = 74070360000. Its totient is φ = 5288177664.

The previous prime is 20298305653. The next prime is 20298305693. The reversal of 20298305664 is 46650389202.

20298305664 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 83 + 0 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102001437 + ... + 102001635.

It is an arithmetic number, because the mean of its divisors is an integer number (128594375).

Almost surely, 2^20298305664 is an apocalyptic number.

20298305664 is a gapful number since it is divisible by the number (24) 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 20298305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37035180000).

20298305664 is an abundant number, since it is smaller than the sum of its proper divisors (53772054336).

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

20298305664 is a wasteful number, since it uses less digits than its factorization.

20298305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20298305664 in words is "twenty billion, two hundred ninety-eight million, three hundred five thousand, six hundred sixty-four".