7380135000 has 360 divisors, whose sum is σ = 29063368620. Its totient is φ = 1686384000.

The previous prime is 7380134989. The next prime is 7380135017. The reversal of 7380135000 is 5310837.

7380135000 is a `hidden beast` number, since 73 + 80 + 13 + 500 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2203327 + ... + 2206673.

Almost surely, 2^7380135000 is an apocalyptic number.

7380135000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7380135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14531684310).

7380135000 is an abundant number, since it is smaller than the sum of its proper divisors (21683233620).

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

7380135000 is a wasteful number, since it uses less digits than its factorization.

7380135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7380135000 is about 85907.7121101476. The cubic root of 7380135000 is about 1946.9498666661.

Adding to 7380135000 its reverse (5310837), we get a palindrome (7385445837).

It can be divided in two parts, 73801 and 35000, that added together give a palindrome (108801).

The spelling of 7380135000 in words is "seven billion, three hundred eighty million, one hundred thirty-five thousand".