20346906240 has 512 divisors, whose sum is σ = 74370240000. Its totient is φ = 5255331840.

The previous prime is 20346906227. The next prime is 20346906289. The reversal of 20346906240 is 4260964302.

20346906240 is a `hidden beast` number, since 20 + 3 + 4 + 6 + 9 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20346906195 and 20346906204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102245661 + ... + 102245859.

It is an arithmetic number, because the mean of its divisors is an integer number (145254375).

Almost surely, 2^20346906240 is an apocalyptic number.

20346906240 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 20346906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37185120000).

20346906240 is an abundant number, since it is smaller than the sum of its proper divisors (54023333760).

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

20346906240 is a wasteful number, since it uses less digits than its factorization.

20346906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 20346906240 in words is "twenty billion, three hundred forty-six million, nine hundred six thousand, two hundred forty".