8249537610 has 128 divisors (see below), whose sum is σ = 23223168000. Its totient is φ = 2078104896.

The previous prime is 8249537599. The next prime is 8249537669. The reversal of 8249537610 is 167359428.

8249537610 is a `hidden beast` number, since 8 + 24 + 9 + 5 + 3 + 7 + 610 = 666.

8249537610 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

8249537610 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1942149 + ... + 1946391.

It is an arithmetic number, because the mean of its divisors is an integer number (181431000).

It is a 1-persistent number, because it is pandigital, but 2⋅8249537610 = 16499075220 is not.

Almost surely, 2^8249537610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8249537610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11611584000).

8249537610 is an abundant number, since it is smaller than the sum of its proper divisors (14973630390).

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

8249537610 is a wasteful number, since it uses less digits than its factorization.

8249537610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8249537610 is about 90826.9652140817. The cubic root of 8249537610 is about 2020.5822595255.

The spelling of 8249537610 in words is "eight billion, two hundred forty-nine million, five hundred thirty-seven thousand, six hundred ten".