725341962240 has 920 divisors, whose sum is σ = 3020703826272. Its totient is φ = 163074539520.

The previous prime is 725341962239. The next prime is 725341962251. The reversal of 725341962240 is 42269143527.

725341962240 is a `hidden beast` number, since 7 + 2 + 5 + 3 + 4 + 19 + 622 + 4 + 0 = 666.

It is a super-2 number, since 2×725341962240² (a number of 25 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 11890851810 + ... + 11890851870.

Almost surely, 2^725341962240 is an apocalyptic number.

725341962240 is a gapful number since it is divisible by the number (70) 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 725341962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510351913136).

725341962240 is an abundant number, since it is smaller than the sum of its proper divisors (2295361864032).

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

725341962240 is an frugal number, since it uses more digits than its factorization.

725341962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 725341962240 in words is "seven hundred twenty-five billion, three hundred forty-one million, nine hundred sixty-two thousand, two hundred forty".