720960634800 has 360 divisors, whose sum is σ = 2906233597280. Its totient is φ = 162089164800.

The previous prime is 720960634799. The next prime is 720960634829. The reversal of 720960634800 is 8436069027.

720960634800 is a `hidden beast` number, since 7 + 2 + 0 + 9 + 6 + 0 + 634 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1302696 + ... + 1771704.

Almost surely, 2^720960634800 is an apocalyptic number.

720960634800 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 720960634800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453116798640).

720960634800 is an abundant number, since it is smaller than the sum of its proper divisors (2185272962480).

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

720960634800 is a wasteful number, since it uses less digits than its factorization.

720960634800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469101 (or 469087 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 720960634800 in words is "seven hundred twenty billion, nine hundred sixty million, six hundred thirty-four thousand, eight hundred".