32792227920 has 640 divisors, whose sum is σ = 123870643200. Its totient is φ = 8047226880.

The previous prime is 32792227861. The next prime is 32792227921. The reversal of 32792227920 is 2972229723.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32792227921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116698180 + ... + 116698460.

It is an arithmetic number, because the mean of its divisors is an integer number (193547880).

Almost surely, 2^32792227920 is an apocalyptic number.

32792227920 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 32792227920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61935321600).

32792227920 is an abundant number, since it is smaller than the sum of its proper divisors (91078415280).

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

32792227920 is a wasteful number, since it uses less digits than its factorization.

32792227920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 343 counting only the distinct ones).

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

The spelling of 32792227920 in words is "thirty-two billion, seven hundred ninety-two million, two hundred twenty-seven thousand, nine hundred twenty".