32122004976 has 320 divisors, whose sum is σ = 101993472000. Its totient is φ = 9643898880.

The previous prime is 32122004921. The next prime is 32122005023. The reversal of 32122004976 is 67940022123.

32122004976 is a `hidden beast` number, since 321 + 220 + 0 + 49 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 32122004976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11812545 + ... + 11815263.

It is an arithmetic number, because the mean of its divisors is an integer number (318729600).

Almost surely, 2^32122004976 is an apocalyptic number.

32122004976 is a gapful number since it is divisible by the number (36) 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 32122004976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50996736000).

32122004976 is an abundant number, since it is smaller than the sum of its proper divisors (69871467024).

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

32122004976 is a wasteful number, since it uses less digits than its factorization.

32122004976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 32122004976 in words is "thirty-two billion, one hundred twenty-two million, four thousand, nine hundred seventy-six".