723352200480 has 1920 divisors, whose sum is σ = 3367429148160. Its totient is φ = 141893959680.

The previous prime is 723352200451. The next prime is 723352200503. The reversal of 723352200480 is 84002253327.

723352200480 is a `hidden beast` number, since 7 + 23 + 352 + 200 + 4 + 80 = 666.

It is a super-2 number, since 2×723352200480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2185353915 + ... + 2185354245.

It is an arithmetic number, because the mean of its divisors is an integer number (1753869348).

Almost surely, 2^723352200480 is an apocalyptic number.

723352200480 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 723352200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683714574080).

723352200480 is an abundant number, since it is smaller than the sum of its proper divisors (2644076947680).

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

723352200480 is a wasteful number, since it uses less digits than its factorization.

723352200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 723352200480 in words is "seven hundred twenty-three billion, three hundred fifty-two million, two hundred thousand, four hundred eighty".