20741360640 has 1408 divisors, whose sum is σ = 95080366080. Its totient is φ = 3715891200.

The previous prime is 20741360611. The next prime is 20741360669. The reversal of 20741360640 is 4606314702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20741360611) and next prime (20741360669).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 292131805 + ... + 292131875.

Almost surely, 2^20741360640 is an apocalyptic number.

20741360640 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 20741360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47540183040).

20741360640 is an abundant number, since it is smaller than the sum of its proper divisors (74339005440).

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

20741360640 is a wasteful number, since it uses less digits than its factorization.

20741360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 20741360640 in words is "twenty billion, seven hundred forty-one million, three hundred sixty thousand, six hundred forty".