7638245637064 has 64 divisors (see below), whose sum is σ = 16810655304960. Its totient is φ = 3184943120640.

The previous prime is 7638245637031. The next prime is 7638245637067. The reversal of 7638245637064 is 4607365428367.

It is a junction number, because it is equal to n+sod(n) for n = 7638245636993 and 7638245637011.

It is not an unprimeable number, because it can be changed into a prime (7638245637067) 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, 78399309 + ... + 78496675.

It is an arithmetic number, because the mean of its divisors is an integer number (262666489140).

Almost surely, 2^{7638245637064} is an apocalyptic number.

7638245637064 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

7638245637064 is an abundant number, since it is smaller than the sum of its proper divisors (9172409667896).

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

7638245637064 is a wasteful number, since it uses less digits than its factorization.

7638245637064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135278 (or 135274 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 61.

The spelling of 7638245637064 in words is "seven trillion, six hundred thirty-eight billion, two hundred forty-five million, six hundred thirty-seven thousand, sixty-four".