720954561600 has 3024 divisors, whose sum is σ = 3458210910336. Its totient is φ = 146313216000.

The previous prime is 720954561583. The next prime is 720954561629. The reversal of 720954561600 is 6165459027.

720954561600 is a `hidden beast` number, since 7 + 20 + 9 + 5 + 4 + 5 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 10154289565 + ... + 10154289635.

It is an arithmetic number, because the mean of its divisors is an integer number (1143588264).

Almost surely, 2^720954561600 is an apocalyptic number.

720954561600 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 720954561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729105455168).

720954561600 is an abundant number, since it is smaller than the sum of its proper divisors (2737256348736).

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

720954561600 is a wasteful number, since it uses less digits than its factorization.

720954561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 720954561600 in words is "seven hundred twenty billion, nine hundred fifty-four million, five hundred sixty-one thousand, six hundred".