8629493760 has 588 divisors, whose sum is σ = 32983992198. Its totient is φ = 2165833728.

The previous prime is 8629493759. The next prime is 8629493767. The reversal of 8629493760 is 673949268.

It is a happy number.

8629493760 is a `hidden beast` number, since 8 + 629 + 4 + 9 + 3 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8387629056 + 241864704 = 91584^2 + 15552^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8629493697 and 8629493706.

It is not an unprimeable number, because it can be changed into a prime (8629493767) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 507617272 + ... + 507617288.

Almost surely, 2^8629493760 is an apocalyptic number.

8629493760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8629493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16491996099).

8629493760 is an abundant number, since it is smaller than the sum of its proper divisors (24354498438).

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

8629493760 is an frugal number, since it uses more digits than its factorization.

8629493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 8629493760 is about 92895.0685451063. The cubic root of 8629493760 is about 2051.1390663548.

The spelling of 8629493760 in words is "eight billion, six hundred twenty-nine million, four hundred ninety-three thousand, seven hundred sixty".