8130672000 has 1024 divisors, whose sum is σ = 34369920000. Its totient is φ = 1870848000.

The previous prime is 8130671963. The next prime is 8130672001. The reversal of 8130672000 is 2760318.

It is a super-2 number, since 2×8130672000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8130672001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137807971 + ... + 137808029.

It is an arithmetic number, because the mean of its divisors is an integer number (33564375).

Almost surely, 2^8130672000 is an apocalyptic number.

8130672000 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 8130672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960000).

8130672000 is an abundant number, since it is smaller than the sum of its proper divisors (26239248000).

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

8130672000 is a wasteful number, since it uses less digits than its factorization.

8130672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 8130672000 is about 90170.2389926965. The cubic root of 8130672000 is about 2010.8305767666.

The spelling of 8130672000 in words is "eight billion, one hundred thirty million, six hundred seventy-two thousand".