6503629638 has 64 divisors (see below), whose sum is σ = 15206994432. Its totient is φ = 1834145280.

The previous prime is 6503629637. The next prime is 6503629651. The reversal of 6503629638 is 8369263056.

It is a super-2 number, since 2×6503629638² = 84594396936544022088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6503629637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1731 + ... + 114062.

It is an arithmetic number, because the mean of its divisors is an integer number (237609288).

Almost surely, 2^6503629638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6503629638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603497216).

6503629638 is an abundant number, since it is smaller than the sum of its proper divisors (8703364794).

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

6503629638 is a wasteful number, since it uses less digits than its factorization.

6503629638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115869.

The product of its (nonzero) digits is 1399680, while the sum is 48.

The square root of 6503629638 is about 80645.0844007246. The cubic root of 6503629638 is about 1866.6028897782.

The spelling of 6503629638 in words is "six billion, five hundred three million, six hundred twenty-nine thousand, six hundred thirty-eight".