222764256000 has 1440 divisors, whose sum is σ = 975521042496. Its totient is φ = 49766400000.

The previous prime is 222764255977. The next prime is 222764256019. The reversal of 222764256000 is 652467222.

222764256000 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 6 + 42 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 370655700 + ... + 370656300.

Almost surely, 2^222764256000 is an apocalyptic number.

222764256000 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 222764256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487760521248).

222764256000 is an abundant number, since it is smaller than the sum of its proper divisors (752756786496).

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

222764256000 is a wasteful number, since it uses less digits than its factorization.

222764256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 222764256000 in words is "two hundred twenty-two billion, seven hundred sixty-four million, two hundred fifty-six thousand".