22776720480 has 576 divisors, whose sum is σ = 84325183488. Its totient is φ = 5800273920.

The previous prime is 22776720467. The next prime is 22776720493. The reversal of 22776720480 is 8402767722.

22776720480 is a `hidden beast` number, since 22 + 77 + 67 + 20 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (22776720467) and next prime (22776720493).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102137649 + ... + 102137871.

It is an arithmetic number, because the mean of its divisors is an integer number (146397888).

Almost surely, 2^22776720480 is an apocalyptic number.

22776720480 is a gapful number since it is divisible by the number (20) 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 22776720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42162591744).

22776720480 is an abundant number, since it is smaller than the sum of its proper divisors (61548463008).

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

22776720480 is a wasteful number, since it uses less digits than its factorization.

22776720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 22776720480 in words is "twenty-two billion, seven hundred seventy-six million, seven hundred twenty thousand, four hundred eighty".