27222946464 has 864 divisors, whose sum is σ = 99296378496. Its totient is φ = 6471843840.

The previous prime is 27222946409. The next prime is 27222946489. The reversal of 27222946464 is 46464922272.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (2322432) is a multiple of the sum of its prime divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 663974284 + ... + 663974324.

It is an arithmetic number, because the mean of its divisors is an integer number (114926364).

Almost surely, 2^27222946464 is an apocalyptic number.

27222946464 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 27222946464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49648189248).

27222946464 is an abundant number, since it is smaller than the sum of its proper divisors (72073432032).

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

27222946464 is a wasteful number, since it uses less digits than its factorization.

27222946464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The spelling of 27222946464 in words is "twenty-seven billion, two hundred twenty-two million, nine hundred forty-six thousand, four hundred sixty-four".