735001561728 has 512 divisors, whose sum is σ = 2678650560000. Its totient is φ = 197642059776.

The previous prime is 735001561709. The next prime is 735001561753. The reversal of 735001561728 is 827165100537.

It is a happy number.

735001561728 is a `hidden beast` number, since 7 + 3 + 5 + 0 + 0 + 1 + 5 + 617 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20133700 + ... + 20170172.

It is an arithmetic number, because the mean of its divisors is an integer number (5231739375).

Almost surely, 2^735001561728 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 735001561728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339325280000).

735001561728 is an abundant number, since it is smaller than the sum of its proper divisors (1943648998272).

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

735001561728 is a wasteful number, since it uses less digits than its factorization.

735001561728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36534 (or 36502 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 735001561728 in words is "seven hundred thirty-five billion, one million, five hundred sixty-one thousand, seven hundred twenty-eight".