20617227643740 has 384 divisors, whose sum is σ = 72688617050112. Its totient is φ = 4250778255360.

The previous prime is 20617227643729. The next prime is 20617227643759. The reversal of 20617227643740 is 4734672271602.

It is a super-2 number, since 2×20617227643740² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 43570254 + ... + 44040906.

It is an arithmetic number, because the mean of its divisors is an integer number (189293273568).

Almost surely, 2^{20617227643740} is an apocalyptic number.

20617227643740 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 20617227643740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36344308525056).

20617227643740 is an abundant number, since it is smaller than the sum of its proper divisors (52071389406372).

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

20617227643740 is a wasteful number, since it uses less digits than its factorization.

20617227643740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470869 (or 470867 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 51.

The spelling of 20617227643740 in words is "twenty trillion, six hundred seventeen billion, two hundred twenty-seven million, six hundred forty-three thousand, seven hundred forty".