21770832384 has 240 divisors, whose sum is σ = 72121008960. Its totient is φ = 6193152000.

The previous prime is 21770832359. The next prime is 21770832401. The reversal of 21770832384 is 48323807712.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8094912 + ... + 8097600.

It is an arithmetic number, because the mean of its divisors is an integer number (300504204).

Almost surely, 2^21770832384 is an apocalyptic number.

21770832384 is a gapful number since it is divisible by the number (24) 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 21770832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36060504480).

21770832384 is an abundant number, since it is smaller than the sum of its proper divisors (50350176576).

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

21770832384 is a wasteful number, since it uses less digits than its factorization.

21770832384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 21770832384 in words is "twenty-one billion, seven hundred seventy million, eight hundred thirty-two thousand, three hundred eighty-four".