728672373636480 has 2592 divisors, whose sum is σ = 3241937892688560. Its totient is φ = 153340448661504.

The previous prime is 728672373636377. The next prime is 728672373636593. The reversal of 728672373636480 is 84636373276827.

728672373636480 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 72 + 3 + 73 + 6 + 3 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 728672373636399 and 728672373636408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1902538834369 + ... + 1902538834751.

Almost surely, 2^{728672373636480} is an apocalyptic number.

728672373636480 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 728672373636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620968946344280).

728672373636480 is an abundant number, since it is smaller than the sum of its proper divisors (2513265519052080).

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

728672373636480 is an frugal number, since it uses more digits than its factorization.

728672373636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 72.

The spelling of 728672373636480 in words is "seven hundred twenty-eight trillion, six hundred seventy-two billion, three hundred seventy-three million, six hundred thirty-six thousand, four hundred eighty".