8037634752 has 448 divisors, whose sum is σ = 29153510400. Its totient is φ = 2120048640.

The previous prime is 8037634747. The next prime is 8037634753. The reversal of 8037634752 is 2574367308.

8037634752 is a `hidden beast` number, since 8 + 0 + 3 + 7 + 634 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 8037634698 and 8037634707.

It is not an unprimeable number, because it can be changed into a prime (8037634753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9422358 + ... + 9423210.

It is an arithmetic number, because the mean of its divisors is an integer number (65074800).

Almost surely, 2^8037634752 is an apocalyptic number.

8037634752 is a gapful number since it is divisible by the number (82) 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 8037634752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14576755200).

8037634752 is an abundant number, since it is smaller than the sum of its proper divisors (21115875648).

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

8037634752 is a wasteful number, since it uses less digits than its factorization.

8037634752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 8037634752 is about 89652.8569093032. The cubic root of 8037634752 is about 2003.1313241792.

The spelling of 8037634752 in words is "eight billion, thirty-seven million, six hundred thirty-four thousand, seven hundred fifty-two".