7482618000 has 1600 divisors, whose sum is σ = 35390234880. Its totient is φ = 1492992000.

The previous prime is 7482617993. The next prime is 7482618001. The reversal of 7482618000 is 8162847.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7482618001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 393821991 + ... + 393822009.

Almost surely, 2^7482618000 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 7482618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695117440).

7482618000 is an abundant number, since it is smaller than the sum of its proper divisors (27907616880).

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

7482618000 is a wasteful number, since it uses less digits than its factorization.

7482618000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7482618000 is about 86502.1271414755. The cubic root of 7482618000 is about 1955.9204679921.

The spelling of 7482618000 in words is "seven billion, four hundred eighty-two million, six hundred eighteen thousand".