725698262016 has 704 divisors, whose sum is σ = 2659609128960. Its totient is φ = 190346526720.

The previous prime is 725698261987. The next prime is 725698262063. The reversal of 725698262016 is 610262896527.

725698262016 is a `hidden beast` number, since 7 + 2 + 5 + 6 + 9 + 8 + 2 + 620 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 530868565 + ... + 530869931.

Almost surely, 2^725698262016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725698262016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329804564480).

725698262016 is an abundant number, since it is smaller than the sum of its proper divisors (1933910866944).

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

725698262016 is a wasteful number, since it uses less digits than its factorization.

725698262016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 725698262016 in words is "seven hundred twenty-five billion, six hundred ninety-eight million, two hundred sixty-two thousand, sixteen".