20624406000 has 320 divisors, whose sum is σ = 72930903552. Its totient is φ = 4972800000.

The previous prime is 20624405987. The next prime is 20624406017. The reversal of 20624406000 is 60442602.

It is a super-2 number, since 2×20624406000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 13925260 + ... + 13926740.

Almost surely, 2^20624406000 is an apocalyptic number.

20624406000 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 20624406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36465451776).

20624406000 is an abundant number, since it is smaller than the sum of its proper divisors (52306497552).

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

20624406000 is a wasteful number, since it uses less digits than its factorization.

20624406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20624406000 its reverse (60442602), we get a palindrome (20684848602).

It can be divided in two parts, 20624 and 406000, that added together give a palindrome (426624).

The spelling of 20624406000 in words is "twenty billion, six hundred twenty-four million, four hundred six thousand".