735485764968 has 96 divisors (see below), whose sum is σ = 2050224134400. Its totient is φ = 238090320000.

The previous prime is 735485764943. The next prime is 735485764997. The reversal of 735485764968 is 869467584537.

735485764968 is a `hidden beast` number, since 7 + 3 + 5 + 4 + 8 + 576 + 49 + 6 + 8 = 666.

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 = 735485764896 and 735485764905.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712908 + ... + 1406843.

It is an arithmetic number, because the mean of its divisors is an integer number (21356501400).

Almost surely, 2^735485764968 is an apocalyptic number.

It is an amenable number.

735485764968 is an abundant number, since it is smaller than the sum of its proper divisors (1314738369432).

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

735485764968 is a wasteful number, since it uses less digits than its factorization.

735485764968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119903 (or 2119896 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 735485764968 in words is "seven hundred thirty-five billion, four hundred eighty-five million, seven hundred sixty-four thousand, nine hundred sixty-eight".