720360959040 has 448 divisors, whose sum is σ = 2575140595200. Its totient is φ = 189545545728.

The previous prime is 720360958987. The next prime is 720360959093. The reversal of 720360959040 is 40959063027.

It is a happy number.

720360959040 is a `hidden beast` number, since 7 + 20 + 36 + 0 + 9 + 590 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (720360958987) and next prime (720360959093).

It is a super-2 number, since 2×720360959040² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 732818389 + ... + 732819371.

Almost surely, 2^720360959040 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 720360959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287570297600).

720360959040 is an abundant number, since it is smaller than the sum of its proper divisors (1854779636160).

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

720360959040 is a wasteful number, since it uses less digits than its factorization.

720360959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 720360959040 in words is "seven hundred twenty billion, three hundred sixty million, nine hundred fifty-nine thousand, forty".