720796190400 has 3360 divisors, whose sum is σ = 3457353715200. Its totient is φ = 144521625600.

The previous prime is 720796190393. The next prime is 720796190407. The reversal of 720796190400 is 4091697027.

720796190400 is a `hidden beast` number, since 7 + 20 + 7 + 9 + 619 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (720796190393) and next prime (720796190407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720796190407) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8098833556 + ... + 8098833644.

It is an arithmetic number, because the mean of its divisors is an integer number (1028974320).

Almost surely, 2^720796190400 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 720796190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728676857600).

720796190400 is an abundant number, since it is smaller than the sum of its proper divisors (2736557524800).

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

720796190400 is a wasteful number, since it uses less digits than its factorization.

720796190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 720796190400 in words is "seven hundred twenty billion, seven hundred ninety-six million, one hundred ninety thousand, four hundred".