735827825680 has 40 divisors (see below), whose sum is σ = 1785182294592. Its totient is φ = 281534123904.

The previous prime is 735827825651. The next prime is 735827825723. The reversal of 735827825680 is 86528728537.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199951374 + ... + 199955053.

Almost surely, 2^735827825680 is an apocalyptic number.

It is an amenable number.

735827825680 is an abundant number, since it is smaller than the sum of its proper divisors (1049354468912).

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

735827825680 is a wasteful number, since it uses less digits than its factorization.

735827825680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399906463 (or 399906457 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 61.

The spelling of 735827825680 in words is "seven hundred thirty-five billion, eight hundred twenty-seven million, eight hundred twenty-five thousand, six hundred eighty".