20460739440960 has 672 divisors, whose sum is σ = 90424501009920. Its totient is φ = 4316990017536.

The previous prime is 20460739440941. The next prime is 20460739440979. The reversal of 20460739440960 is 6904493706402.

20460739440960 is a `hidden beast` number, since 2 + 0 + 46 + 0 + 73 + 9 + 440 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20460739440941) and next prime (20460739440979).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×20460739440960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20460739440897 and 20460739440906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3644857 + ... + 7362503.

It is an arithmetic number, because the mean of its divisors is an integer number (134560269360).

Almost surely, 2^{20460739440960} is an apocalyptic number.

20460739440960 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 20460739440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45212250504960).

20460739440960 is an abundant number, since it is smaller than the sum of its proper divisors (69963761568960).

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

20460739440960 is a wasteful number, since it uses less digits than its factorization.

20460739440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717700 (or 3717677 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 20460739440960 in words is "twenty trillion, four hundred sixty billion, seven hundred thirty-nine million, four hundred forty thousand, nine hundred sixty".