8126357760 has 432 divisors, whose sum is σ = 29922197760. Its totient is φ = 2030469120.

The previous prime is 8126357711. The next prime is 8126357761. The reversal of 8126357760 is 677536218.

8126357760 is a `hidden beast` number, since 8 + 1 + 2 + 635 + 7 + 7 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8126357761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29986425 + ... + 29986695.

Almost surely, 2^8126357760 is an apocalyptic number.

8126357760 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 8126357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961098880).

8126357760 is an abundant number, since it is smaller than the sum of its proper divisors (21795840000).

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

8126357760 is a wasteful number, since it uses less digits than its factorization.

8126357760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 8126357760 is about 90146.3130693652. The cubic root of 8126357760 is about 2010.4748562492.

The spelling of 8126357760 in words is "eight billion, one hundred twenty-six million, three hundred fifty-seven thousand, seven hundred sixty".