32477806656 has 105 divisors (see below), whose sum is σ = 96312872271. Its totient is φ = 10821610368.

The previous prime is 32477806651. The next prime is 32477806657. The reversal of 32477806656 is 65660877423.

The square root of 32477806656 is 180216.

It is a perfect power (a square), and thus also a powerful number.

32477806656 is a `hidden beast` number, since 32 + 477 + 80 + 6 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (32477806651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12974301 + ... + 12976803.

Almost surely, 2^32477806656 is an apocalyptic number.

32477806656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32477806656 is the 180216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32477806656

32477806656 is an abundant number, since it is smaller than the sum of its proper divisors (63835065615).

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

32477806656 is an frugal number, since it uses more digits than its factorization.

32477806656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 32477806656 in words is "thirty-two billion, four hundred seventy-seven million, eight hundred six thousand, six hundred fifty-six".