7672333367160 has 1024 divisors, whose sum is σ = 34109268480000. Its totient is φ = 1484976291840.

The previous prime is 7672333367147. The next prime is 7672333367197. The reversal of 7672333367160 is 617633332767.

7672333367160 is a `hidden beast` number, since 7 + 6 + 7 + 233 + 336 + 71 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7672333367097 and 7672333367106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 137102866 + ... + 137158814.

It is an arithmetic number, because the mean of its divisors is an integer number (33309832500).

Almost surely, 2^{7672333367160} is an apocalyptic number.

7672333367160 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 7672333367160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054634240000).

7672333367160 is an abundant number, since it is smaller than the sum of its proper divisors (26436935112840).

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

7672333367160 is a wasteful number, since it uses less digits than its factorization.

7672333367160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56101 (or 56091 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 54.

The spelling of 7672333367160 in words is "seven trillion, six hundred seventy-two billion, three hundred thirty-three million, three hundred sixty-seven thousand, one hundred sixty".