725679219480 has 256 divisors, whose sum is σ = 2260394864640. Its totient is φ = 186181632000.

The previous prime is 725679219479. The next prime is 725679219493. The reversal of 725679219480 is 84912976527.

It is a super-2 number, since 2×725679219480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 690464955 + ... + 690466005.

It is an arithmetic number, because the mean of its divisors is an integer number (8829667440).

Almost surely, 2^725679219480 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 725679219480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130197432320).

725679219480 is an abundant number, since it is smaller than the sum of its proper divisors (1534715645160).

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

725679219480 is a wasteful number, since it uses less digits than its factorization.

725679219480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 725679219480 in words is "seven hundred twenty-five billion, six hundred seventy-nine million, two hundred nineteen thousand, four hundred eighty".