32746472640 has 1680 divisors, whose sum is σ = 151358803200. Its totient is φ = 6667702272.

The previous prime is 32746472611. The next prime is 32746472653. The reversal of 32746472640 is 4627464723.

32746472640 is a `hidden beast` number, since 327 + 4 + 64 + 7 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 555024931 + ... + 555024989.

Almost surely, 2^32746472640 is an apocalyptic number.

32746472640 is a gapful number since it is divisible by the number (30) 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 32746472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75679401600).

32746472640 is an abundant number, since it is smaller than the sum of its proper divisors (118612330560).

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

32746472640 is a wasteful number, since it uses less digits than its factorization.

32746472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 32746472640 in words is "thirty-two billion, seven hundred forty-six million, four hundred seventy-two thousand, six hundred forty".