32620917672 has 128 divisors (see below), whose sum is σ = 103603449600. Its totient is φ = 9316214784.

The previous prime is 32620917671. The next prime is 32620917673. The reversal of 32620917672 is 27671902623.

32620917672 is a `hidden beast` number, since 3 + 2 + 620 + 9 + 17 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (32620917671) and next prime (32620917673).

It is not an unprimeable number, because it can be changed into a prime (32620917671) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6155728 + ... + 6161024.

It is an arithmetic number, because the mean of its divisors is an integer number (809401950).

Almost surely, 2^32620917672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32620917672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51801724800).

32620917672 is an abundant number, since it is smaller than the sum of its proper divisors (70982531928).

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

32620917672 is a wasteful number, since it uses less digits than its factorization.

32620917672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9392 (or 9382 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 32620917672 in words is "thirty-two billion, six hundred twenty million, nine hundred seventeen thousand, six hundred seventy-two".