734673408128 has 128 divisors (see below), whose sum is σ = 1636567511040. Its totient is φ = 325622707200.

The previous prime is 734673408103. The next prime is 734673408137. The reversal of 734673408128 is 821804376437.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×734673408128² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 734673408128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36740213 + ... + 36760203.

It is an arithmetic number, because the mean of its divisors is an integer number (12785683680).

Almost surely, 2^734673408128 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 734673408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818283755520).

734673408128 is an abundant number, since it is smaller than the sum of its proper divisors (901894102912).

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

734673408128 is a wasteful number, since it uses less digits than its factorization.

734673408128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20666 (or 20654 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 53.

The spelling of 734673408128 in words is "seven hundred thirty-four billion, six hundred seventy-three million, four hundred eight thousand, one hundred twenty-eight".