7638731010240 has 112 divisors (see below), whose sum is σ = 26457786535680. Its totient is φ = 1851813575680.

The previous prime is 7638731010203. The next prime is 7638731010247. The reversal of 7638731010240 is 420101378367.

It is a super-2 number, since 2×7638731010240² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7638731010192 and 7638731010201.

It is not an unprimeable number, because it can be changed into a prime (7638731010247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361671780 + ... + 361692899.

Almost surely, 2^{7638731010240} is an apocalyptic number.

It is an amenable number.

7638731010240 is an abundant number, since it is smaller than the sum of its proper divisors (18819055525440).

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

7638731010240 is a wasteful number, since it uses less digits than its factorization.

7638731010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723364710 (or 723364700 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 7638731010240 in words is "seven trillion, six hundred thirty-eight billion, seven hundred thirty-one million, ten thousand, two hundred forty".