20625349680 has 640 divisors, whose sum is σ = 81878092800. Its totient is φ = 4729798656.

The previous prime is 20625349649. The next prime is 20625349697. The reversal of 20625349680 is 8694352602.

20625349680 is a `hidden beast` number, since 20 + 6 + 2 + 534 + 96 + 8 + 0 = 666.

It is a super-2 number, since 2×20625349680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 35745552 + ... + 35746128.

It is an arithmetic number, because the mean of its divisors is an integer number (127934520).

Almost surely, 2^20625349680 is an apocalyptic number.

20625349680 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 20625349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40939046400).

20625349680 is an abundant number, since it is smaller than the sum of its proper divisors (61252743120).

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

20625349680 is a wasteful number, since it uses less digits than its factorization.

20625349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20625349680 in words is "twenty billion, six hundred twenty-five million, three hundred forty-nine thousand, six hundred eighty".