225953072640 has 640 divisors, whose sum is σ = 824617221120. Its totient is φ = 58626146304.

The previous prime is 225953072633. The next prime is 225953072671. The reversal of 225953072640 is 46270359522.

225953072640 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 530 + 72 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 449210629 + ... + 449211131.

It is an arithmetic number, because the mean of its divisors is an integer number (1288464408).

Almost surely, 2^225953072640 is an apocalyptic number.

225953072640 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 225953072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412308610560).

225953072640 is an abundant number, since it is smaller than the sum of its proper divisors (598664148480).

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

225953072640 is an equidigital number, since it uses as much as digits as its factorization.

225953072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 225953072640 in words is "two hundred twenty-five billion, nine hundred fifty-three million, seventy-two thousand, six hundred forty".