8126737920 has 480 divisors, whose sum is σ = 32977264320. Its totient is φ = 1810759680.

The previous prime is 8126737909. The next prime is 8126737943. The reversal of 8126737920 is 297376218.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6611866 + ... + 6613094.

It is an arithmetic number, because the mean of its divisors is an integer number (68702634).

Almost surely, 2^8126737920 is an apocalyptic number.

8126737920 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 8126737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16488632160).

8126737920 is an abundant number, since it is smaller than the sum of its proper divisors (24850526400).

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

8126737920 is a wasteful number, since it uses less digits than its factorization.

8126737920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 8126737920 is about 90148.4216167982. The cubic root of 8126737920 is about 2010.5062065058.

The spelling of 8126737920 in words is "eight billion, one hundred twenty-six million, seven hundred thirty-seven thousand, nine hundred twenty".