734816864754 has 144 divisors (see below), whose sum is σ = 1892569154112. Its totient is φ = 205402309056.

The previous prime is 734816864753. The next prime is 734816864767. The reversal of 734816864754 is 457468618437.

734816864754 is a `hidden beast` number, since 7 + 3 + 4 + 81 + 6 + 86 + 475 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 734816864691 and 734816864700.

It is not an unprimeable number, because it can be changed into a prime (734816864753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7491492 + ... + 7588944.

It is an arithmetic number, because the mean of its divisors is an integer number (13142841348).

Almost surely, 2^734816864754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734816864754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946284577056).

734816864754 is an abundant number, since it is smaller than the sum of its proper divisors (1157752289358).

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

734816864754 is a wasteful number, since it uses less digits than its factorization.

734816864754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97661 (or 97651 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 734816864754 in words is "seven hundred thirty-four billion, eight hundred sixteen million, eight hundred sixty-four thousand, seven hundred fifty-four".