720964512 has 144 divisors (see below), whose sum is σ = 2109580200. Its totient is φ = 233465856.

The previous prime is 720964511. The next prime is 720964523. The reversal of 720964512 is 215469027.

720964512 is a `hidden beast` number, since 7 + 2 + 0 + 9 + 645 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 371872656 + 349091856 = 19284^2 + 18684^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (720964511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2274178 + ... + 2274494.

Almost surely, 2^720964512 is an apocalyptic number.

720964512 is a gapful number since it is divisible by the number (72) 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 720964512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054790100).

720964512 is an abundant number, since it is smaller than the sum of its proper divisors (1388615688).

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

720964512 is a wasteful number, since it uses less digits than its factorization.

720964512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 720964512 is about 26850.7823349712. The cubic root of 720964512 is about 896.6809900529.

The spelling of 720964512 in words is "seven hundred twenty million, nine hundred sixty-four thousand, five hundred twelve".