735160472640 has 672 divisors, whose sum is σ = 2787681536640. Its totient is φ = 176350003200.

The previous prime is 735160472639. The next prime is 735160472659. The reversal of 735160472640 is 46274061537.

735160472640 is a `hidden beast` number, since 7 + 3 + 516 + 0 + 4 + 72 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2394659367 + ... + 2394659673.

It is an arithmetic number, because the mean of its divisors is an integer number (4148335620).

Almost surely, 2^735160472640 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 735160472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393840768320).

735160472640 is an abundant number, since it is smaller than the sum of its proper divisors (2052521064000).

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

735160472640 is a wasteful number, since it uses less digits than its factorization.

735160472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 735160472640 in words is "seven hundred thirty-five billion, one hundred sixty million, four hundred seventy-two thousand, six hundred forty".