693728105070 has 1152 divisors, whose sum is σ = 2491743928320. Its totient is φ = 121709952000.

The previous prime is 693728105041. The next prime is 693728105117. The reversal of 693728105070 is 70501827396.

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 575 ways as a sum of consecutive naturals, for example, 1609577755 + ... + 1609578185.

It is an arithmetic number, because the mean of its divisors is an integer number (2162972160).

Almost surely, 2^693728105070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693728105070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245871964160).

693728105070 is an abundant number, since it is smaller than the sum of its proper divisors (1798015823250).

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

693728105070 is a wasteful number, since it uses less digits than its factorization.

693728105070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 693728105070 in words is "six hundred ninety-three billion, seven hundred twenty-eight million, one hundred five thousand, seventy".