32659948464 has 320 divisors, whose sum is σ = 104899952640. Its totient is φ = 8608343040.

The previous prime is 32659948423. The next prime is 32659948471. The reversal of 32659948464 is 46484995623.

It is a super-2 number, since 2×32659948464² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32659948398 and 32659948407.

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 63 ways as a sum of consecutive naturals, for example, 29082207 + ... + 29083329.

It is an arithmetic number, because the mean of its divisors is an integer number (327812352).

Almost surely, 2^32659948464 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 32659948464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52449976320).

32659948464 is an abundant number, since it is smaller than the sum of its proper divisors (72240004176).

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

32659948464 is a wasteful number, since it uses less digits than its factorization.

32659948464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1394 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 60.

The spelling of 32659948464 in words is "thirty-two billion, six hundred fifty-nine million, nine hundred forty-eight thousand, four hundred sixty-four".