720435250080 has 768 divisors, whose sum is σ = 3122730455040. Its totient is φ = 151057944576.

The previous prime is 720435250061. The next prime is 720435250121. The reversal of 720435250080 is 80052534027.

720435250080 is a `hidden beast` number, since 7 + 20 + 4 + 3 + 52 + 500 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 64072939 + ... + 64084181.

It is an arithmetic number, because the mean of its divisors is an integer number (4066055280).

Almost surely, 2^720435250080 is an apocalyptic number.

720435250080 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 720435250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561365227520).

720435250080 is an abundant number, since it is smaller than the sum of its proper divisors (2402295204960).

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

720435250080 is a wasteful number, since it uses less digits than its factorization.

720435250080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11450 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 720435250080 in words is "seven hundred twenty billion, four hundred thirty-five million, two hundred fifty thousand, eighty".