20629656360 has 192 divisors, whose sum is σ = 69029485200. Its totient is φ = 5339271168.

The previous prime is 20629656337. The next prime is 20629656419. The reversal of 20629656360 is 6365692602.

20629656360 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 9 + 6 + 5 + 636 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20345599044 + 284057316 = 142638^2 + 16854^2 .

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 47 ways as a sum of consecutive naturals, for example, 6085546 + ... + 6088934.

Almost surely, 2^20629656360 is an apocalyptic number.

20629656360 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 20629656360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34514742600).

20629656360 is an abundant number, since it is smaller than the sum of its proper divisors (48399828840).

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

20629656360 is a wasteful number, since it uses less digits than its factorization.

20629656360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 20629656360 in words is "twenty billion, six hundred twenty-nine million, six hundred fifty-six thousand, three hundred sixty".