734480773200 has 960 divisors, whose sum is σ = 2863183411200. Its totient is φ = 178188595200.

The previous prime is 734480773123. The next prime is 734480773211. The reversal of 734480773200 is 2377084437.

734480773200 is a `hidden beast` number, since 73 + 4 + 480 + 77 + 32 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 563683749 + ... + 563685051.

It is an arithmetic number, because the mean of its divisors is an integer number (2982482720).

Almost surely, 2^734480773200 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 734480773200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431591705600).

734480773200 is an abundant number, since it is smaller than the sum of its proper divisors (2128702638000).

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

734480773200 is a wasteful number, since it uses less digits than its factorization.

734480773200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 734480773200 in words is "seven hundred thirty-four billion, four hundred eighty million, seven hundred seventy-three thousand, two hundred".