225376629840 has 60 divisors (see below), whose sum is σ = 756889850964. Its totient is φ = 60100434432.

The previous prime is 225376629799. The next prime is 225376629847. The reversal of 225376629840 is 48926673522.

225376629840 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 7 + 6 + 629 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54357989904 + 171018639936 = 233148^2 + 413544^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225376629847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156510829 + ... + 156512268.

Almost surely, 2^225376629840 is an apocalyptic number.

225376629840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225376629840 is an abundant number, since it is smaller than the sum of its proper divisors (531513221124).

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

225376629840 is a wasteful number, since it uses less digits than its factorization.

225376629840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313023116 (or 313023107 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 225376629840 in words is "two hundred twenty-five billion, three hundred seventy-six million, six hundred twenty-nine thousand, eight hundred forty".