7672041000 has 384 divisors, whose sum is σ = 29150634240. Its totient is φ = 1805760000.

The previous prime is 7672040953. The next prime is 7672041049. The reversal of 7672041000 is 1402767.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2689575 + ... + 2692425.

It is an arithmetic number, because the mean of its divisors is an integer number (75913110).

Almost surely, 2^7672041000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7672041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14575317120).

7672041000 is an abundant number, since it is smaller than the sum of its proper divisors (21478593240).

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

7672041000 is a wasteful number, since it uses less digits than its factorization.

7672041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7672041000 is about 87590.1878066259. The cubic root of 7672041000 is about 1972.2878759103.

Adding to 7672041000 its reverse (1402767), we get a palindrome (7673443767).

The spelling of 7672041000 in words is "seven billion, six hundred seventy-two million, forty-one thousand".