4734293500872 has 512 divisors, whose sum is σ = 15326207769600. Its totient is φ = 1359324426240.

The previous prime is 4734293500843. The next prime is 4734293500873. The reversal of 4734293500872 is 2780053924374.

It is a happy number.

4734293500872 is a `hidden beast` number, since 4 + 7 + 3 + 42 + 93 + 500 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4734293500873) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214472428 + ... + 214494500.

It is an arithmetic number, because the mean of its divisors is an integer number (29933999550).

Almost surely, 2^{4734293500872} 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 4734293500872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663103884800).

4734293500872 is an abundant number, since it is smaller than the sum of its proper divisors (10591914268728).

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

4734293500872 is a wasteful number, since it uses less digits than its factorization.

4734293500872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22177 (or 22155 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4734293500872 in words is "four trillion, seven hundred thirty-four billion, two hundred ninety-three million, five hundred thousand, eight hundred seventy-two".