725047427101662 has 96 divisors (see below), whose sum is σ = 1812874386565632. Its totient is φ = 205135197406272.

The previous prime is 725047427101643. The next prime is 725047427101681. The reversal of 725047427101662 is 266101724740527.

725047427101662 is a `hidden beast` number, since 7 + 2 + 5 + 0 + 47 + 427 + 10 + 166 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (725047427101643) and next prime (725047427101681).

It is a junction number, because it is equal to n+sod(n) for n = 725047427101599 and 725047427101608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267386448 + ... + 270084444.

It is an arithmetic number, because the mean of its divisors is an integer number (18884108193392).

Almost surely, 2^{725047427101662} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725047427101662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906437193282816).

725047427101662 is an abundant number, since it is smaller than the sum of its proper divisors (1087826959463970).

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

725047427101662 is a wasteful number, since it uses less digits than its factorization.

725047427101662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718822 (or 2718819 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 725047427101662 in words is "seven hundred twenty-five trillion, forty-seven billion, four hundred twenty-seven million, one hundred one thousand, six hundred sixty-two".