725506766633000 has 128 divisors (see below), whose sum is σ = 1852038737078400. Its totient is φ = 263818102912000.

The previous prime is 725506766632979. The next prime is 725506766633039. The reversal of 725506766633000 is 336667605527.

It is a super-3 number, since 3×725506766633000³ (a number of 46 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1439196992 + ... + 1439701008.

It is an arithmetic number, because the mean of its divisors is an integer number (14469052633425).

Almost surely, 2^{725506766633000} is an apocalyptic number.

It is an amenable number.

725506766633000 is an abundant number, since it is smaller than the sum of its proper divisors (1126531970445400).

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

725506766633000 is a wasteful number, since it uses less digits than its factorization.

725506766633000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634908 (or 634894 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 56.

The spelling of 725506766633000 in words is "seven hundred twenty-five trillion, five hundred six billion, seven hundred sixty-six million, six hundred thirty-three thousand".