32161626420 has 768 divisors, whose sum is σ = 124853944320. Its totient is φ = 5984409600.

The previous prime is 32161626403. The next prime is 32161626457. The reversal of 32161626420 is 2462616123.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 144222429 + ... + 144222651.

It is an arithmetic number, because the mean of its divisors is an integer number (162570240).

Almost surely, 2^32161626420 is an apocalyptic number.

32161626420 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 32161626420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62426972160).

32161626420 is an abundant number, since it is smaller than the sum of its proper divisors (92692317900).

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

32161626420 is a wasteful number, since it uses less digits than its factorization.

32161626420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 32161626420 in words is "thirty-two billion, one hundred sixty-one million, six hundred twenty-six thousand, four hundred twenty".