8130457920 has 224 divisors, whose sum is σ = 27949477248. Its totient is φ = 1990582272.

The previous prime is 8130457919. The next prime is 8130457939. The reversal of 8130457920 is 297540318.

It is a super-2 number, since 2×8130457920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2456907 + ... + 2460213.

It is an arithmetic number, because the mean of its divisors is an integer number (124774452).

Almost surely, 2^8130457920 is an apocalyptic number.

8130457920 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 8130457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13974738624).

8130457920 is an abundant number, since it is smaller than the sum of its proper divisors (19819019328).

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

8130457920 is a wasteful number, since it uses less digits than its factorization.

8130457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 8130457920 is about 90169.0518969785. The cubic root of 8130457920 is about 2010.8129282710.

The spelling of 8130457920 in words is "eight billion, one hundred thirty million, four hundred fifty-seven thousand, nine hundred twenty".