8378629560 has 288 divisors, whose sum is σ = 31916766960. Its totient is φ = 1900588032.

The previous prime is 8378629517. The next prime is 8378629561. The reversal of 8378629560 is 659268738.

It is a happy number.

8378629560 is a `hidden beast` number, since 8 + 3 + 7 + 8 + 629 + 5 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8378629497 and 8378629506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8378629561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2414947 + ... + 2418413.

Almost surely, 2^8378629560 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 8378629560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958383480).

8378629560 is an abundant number, since it is smaller than the sum of its proper divisors (23538137400).

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

8378629560 is a wasteful number, since it uses less digits than its factorization.

8378629560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 8378629560 is about 91534.8543452165. The cubic root of 8378629560 is about 2031.0673736747.

The spelling of 8378629560 in words is "eight billion, three hundred seventy-eight million, six hundred twenty-nine thousand, five hundred sixty".