720101737920000 has 1600 divisors, whose sum is σ = 2627573267404800. Its totient is φ = 174404075520000.

The previous prime is 720101737919909. The next prime is 720101737920007. The reversal of 720101737920000 is 29737101027.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720101737920007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 196802878171 + ... + 196802881829.

It is an arithmetic number, because the mean of its divisors is an integer number (1642233292128).

Almost surely, 2^{720101737920000} 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 720101737920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313786633702400).

720101737920000 is an abundant number, since it is smaller than the sum of its proper divisors (1907471529484800).

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

720101737920000 is a wasteful number, since it uses less digits than its factorization.

720101737920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 39.

The spelling of 720101737920000 in words is "seven hundred twenty trillion, one hundred one billion, seven hundred thirty-seven million, nine hundred twenty thousand".