7134804000 has 720 divisors, whose sum is σ = 28090998936. Its totient is φ = 1772928000.

The previous prime is 7134803999. The next prime is 7134804023. The reversal of 7134804000 is 4084317.

It can be written as a sum of positive squares in 4 ways, for example, as 509495184 + 6625308816 = 22572^2 + 81396^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 116963970 + ... + 116964030.

Almost surely, 2^7134804000 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 7134804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045499468).

7134804000 is an abundant number, since it is smaller than the sum of its proper divisors (20956194936).

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

7134804000 is a wasteful number, since it uses less digits than its factorization.

7134804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7134804000 is about 84467.7690009627. The cubic root of 7134804000 is about 1925.1327507259.

Adding to 7134804000 its reverse (4084317), we get a palindrome (7138888317).

The spelling of 7134804000 in words is "seven billion, one hundred thirty-four million, eight hundred four thousand".