20299613468640 has 768 divisors, whose sum is σ = 75830570855424. Its totient is φ = 4509424025600.

The previous prime is 20299613468591. The next prime is 20299613468671. The reversal of 20299613468640 is 4686431699202.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 623187394 + ... + 623219966.

It is an arithmetic number, because the mean of its divisors is an integer number (98737722468).

Almost surely, 2^{20299613468640} is an apocalyptic number.

20299613468640 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 20299613468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37915285427712).

20299613468640 is an abundant number, since it is smaller than the sum of its proper divisors (55530957386784).

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

20299613468640 is a wasteful number, since it uses less digits than its factorization.

20299613468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32803 (or 32795 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 20299613468640 in words is "twenty trillion, two hundred ninety-nine billion, six hundred thirteen million, four hundred sixty-eight thousand, six hundred forty".