1627021416960 has 400 divisors, whose sum is σ = 5833248128136. Its totient is φ = 433442783232.

The previous prime is 1627021416959. The next prime is 1627021417057. The reversal of 1627021416960 is 696141207261.

1627021416960 is a `hidden beast` number, since 1 + 6 + 270 + 214 + 169 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1606160814336 + 20860602624 = 1267344^2 + 144432^2 .

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 39 ways as a sum of consecutive naturals, for example, 247377192 + ... + 247383768.

Almost surely, 2^{1627021416960} is an apocalyptic number.

1627021416960 is a gapful number since it is divisible by the number (10) 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 1627021416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916624064068).

1627021416960 is an abundant number, since it is smaller than the sum of its proper divisors (4206226711176).

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

1627021416960 is an equidigital number, since it uses as much as digits as its factorization.

1627021416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7805 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1627021416960 in words is "one trillion, six hundred twenty-seven billion, twenty-one million, four hundred sixteen thousand, nine hundred sixty".