725950494720 has 768 divisors, whose sum is σ = 2912547456000. Its totient is φ = 169898803200.

The previous prime is 725950494719. The next prime is 725950494721. The reversal of 725950494720 is 27494059527.

725950494720 is a `hidden beast` number, since 7 + 2 + 595 + 0 + 4 + 9 + 47 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (725950494719) and next prime (725950494721).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×725950494720³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725950494721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88193005 + ... + 88201235.

It is an arithmetic number, because the mean of its divisors is an integer number (3792379500).

Almost surely, 2^725950494720 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 725950494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456273728000).

725950494720 is an abundant number, since it is smaller than the sum of its proper divisors (2186596961280).

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

725950494720 is a wasteful number, since it uses less digits than its factorization.

725950494720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8307 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 725950494720 in words is "seven hundred twenty-five billion, nine hundred fifty million, four hundred ninety-four thousand, seven hundred twenty".