7637338007145 has 192 divisors, whose sum is σ = 17706074480640. Its totient is φ = 3064510713600.

The previous prime is 7637338007141. The next prime is 7637338007153. The reversal of 7637338007145 is 5417008337367.

It is not a de Polignac number, because 7637338007145 - 2² = 7637338007141 is a prime.

It is a super-3 number, since 3×7637338007145³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7637338007091 and 7637338007100.

It is not an unprimeable number, because it can be changed into a prime (7637338007141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1305600 + ... + 4120590.

It is an arithmetic number, because the mean of its divisors is an integer number (92219137920).

Almost surely, 2^{7637338007145} is an apocalyptic number.

It is an amenable number.

7637338007145 is an abundant number, since it is smaller than the sum of its proper divisors (10068736473495).

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

7637338007145 is a wasteful number, since it uses less digits than its factorization.

7637338007145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815058 (or 2815046 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 7637338007145 in words is "seven trillion, six hundred thirty-seven billion, three hundred thirty-eight million, seven thousand, one hundred forty-five".