7638745500 has 240 divisors, whose sum is σ = 25458136704. Its totient is φ = 1993161600.

The previous prime is 7638745451. The next prime is 7638745519. The reversal of 7638745500 is 55478367.

7638745500 is a `hidden beast` number, since 7 + 63 + 87 + 4 + 5 + 500 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1901494 + ... + 1905506.

Almost surely, 2^7638745500 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 7638745500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12729068352).

7638745500 is an abundant number, since it is smaller than the sum of its proper divisors (17819391204).

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

7638745500 is a wasteful number, since it uses less digits than its factorization.

7638745500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 7638745500 is about 87399.9170480156. The cubic root of 7638745500 is about 1969.4305946241.

The spelling of 7638745500 in words is "seven billion, six hundred thirty-eight million, seven hundred forty-five thousand, five hundred".