27822709440 has 560 divisors, whose sum is σ = 103400486112. Its totient is φ = 7094697984.

The previous prime is 27822709423. The next prime is 27822709469. The reversal of 27822709440 is 4490722872.

It is a super-2 number, since 2×27822709440² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64255464 + ... + 64255896.

Almost surely, 2^27822709440 is an apocalyptic number.

27822709440 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 27822709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51700243056).

27822709440 is an abundant number, since it is smaller than the sum of its proper divisors (75577776672).

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

27822709440 is a wasteful number, since it uses less digits than its factorization.

27822709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 547 counting only the distinct ones).

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

The spelling of 27822709440 in words is "twenty-seven billion, eight hundred twenty-two million, seven hundred nine thousand, four hundred forty".