728622542020464 has 600 divisors, whose sum is σ = 2642157372542688. Its totient is φ = 192141816007680.

The previous prime is 728622542020441. The next prime is 728622542020481. The reversal of 728622542020464 is 464020245226827.

728622542020464 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 2 + 2 + 5 + 420 + 204 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 728622542020464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7810500829 + ... + 7810594115.

Almost surely, 2^{728622542020464} 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 728622542020464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321078686271344).

728622542020464 is an abundant number, since it is smaller than the sum of its proper divisors (1913534830522224).

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

728622542020464 is a wasteful number, since it uses less digits than its factorization.

728622542020464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102795 (or 102773 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 728622542020464 in words is "seven hundred twenty-eight trillion, six hundred twenty-two billion, five hundred forty-two million, twenty thousand, four hundred sixty-four".