6642972505 has 32 divisors (see below), whose sum is σ = 8721367200. Its totient is φ = 4828108800.

The previous prime is 6642972487. The next prime is 6642972509. The reversal of 6642972505 is 5052792466.

It can be written as a sum of positive squares in 16 ways, for example, as 284664384 + 6358308121 = 16872^2 + 79739^2 .

It is not a de Polignac number, because 6642972505 - 2¹¹ = 6642970457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6642972509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1132821 + ... + 1138669.

It is an arithmetic number, because the mean of its divisors is an integer number (272542725).

Almost surely, 2^6642972505 is an apocalyptic number.

6642972505 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6642972505 is a deficient number, since it is larger than the sum of its proper divisors (2078394695).

6642972505 is a wasteful number, since it uses less digits than its factorization.

6642972505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141.

The product of its (nonzero) digits is 907200, while the sum is 46.

The square root of 6642972505 is about 81504.4324254822. The cubic root of 6642972505 is about 1879.8397050029.

The spelling of 6642972505 in words is "six billion, six hundred forty-two million, nine hundred seventy-two thousand, five hundred five".