735157121664 has 512 divisors, whose sum is σ = 2384278364160. Its totient is φ = 196312596480.

The previous prime is 735157121597. The next prime is 735157121669. The reversal of 735157121664 is 466121751537.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (735157121669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251162569 + ... + 251165495.

It is an arithmetic number, because the mean of its divisors is an integer number (4656793680).

Almost surely, 2^735157121664 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 735157121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192139182080).

735157121664 is an abundant number, since it is smaller than the sum of its proper divisors (1649121242496).

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

735157121664 is a wasteful number, since it uses less digits than its factorization.

735157121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3076 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The spelling of 735157121664 in words is "seven hundred thirty-five billion, one hundred fifty-seven million, one hundred twenty-one thousand, six hundred sixty-four".