20742266376 has 192 divisors, whose sum is σ = 63916776000. Its totient is φ = 6226122240.

The previous prime is 20742266371. The next prime is 20742266411. The reversal of 20742266376 is 67366224702.

20742266376 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 2 + 2 + 6 + 637 + 6 = 666.

It is a super-2 number, since 2×20742266376² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20742266371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1489735 + ... + 1503593.

It is an arithmetic number, because the mean of its divisors is an integer number (332899875).

Almost surely, 2^20742266376 is an apocalyptic number.

20742266376 is a gapful number since it is divisible by the number (26) 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 20742266376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31958388000).

20742266376 is an abundant number, since it is smaller than the sum of its proper divisors (43174509624).

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

20742266376 is a wasteful number, since it uses less digits than its factorization.

20742266376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13941 (or 13918 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 20742266376 in words is "twenty billion, seven hundred forty-two million, two hundred sixty-six thousand, three hundred seventy-six".