20701648968 has 864 divisors, whose sum is σ = 77639143680. Its totient is φ = 4550515200.

The previous prime is 20701648889. The next prime is 20701648993. The reversal of 20701648968 is 86984610702.

It is a self number, because there is not a number n which added to its sum of digits gives 20701648968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 667795113 + ... + 667795143.

It is an arithmetic number, because the mean of its divisors is an integer number (89860120).

Almost surely, 2^20701648968 is an apocalyptic number.

20701648968 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 20701648968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38819571840).

20701648968 is an abundant number, since it is smaller than the sum of its proper divisors (56937494712).

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

20701648968 is a wasteful number, since it uses less digits than its factorization.

20701648968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 20701648968 in words is "twenty billion, seven hundred one million, six hundred forty-eight thousand, nine hundred sixty-eight".