7130672640 has 960 divisors, whose sum is σ = 32172940800. Its totient is φ = 1417347072.

The previous prime is 7130672533. The next prime is 7130672657. The reversal of 7130672640 is 462760317.

7130672640 is a `hidden beast` number, since 7 + 1 + 3 + 0 + 6 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7130672595 and 7130672604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39836071 + ... + 39836249.

It is an arithmetic number, because the mean of its divisors is an integer number (33513480).

Almost surely, 2^7130672640 is an apocalyptic number.

7130672640 is a gapful number since it is divisible by the number (70) 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 7130672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16086470400).

7130672640 is an abundant number, since it is smaller than the sum of its proper divisors (25042268160).

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

7130672640 is a wasteful number, since it uses less digits than its factorization.

7130672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7130672640 is about 84443.3102146049. The cubic root of 7130672640 is about 1924.7611006166.

The spelling of 7130672640 in words is "seven billion, one hundred thirty million, six hundred seventy-two thousand, six hundred forty".