7167928320 has 576 divisors, whose sum is σ = 29191518720. Its totient is φ = 1592524800.

The previous prime is 7167928309. The next prime is 7167928321. The reversal of 7167928320 is 238297617.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7167928321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26449785 + ... + 26450055.

It is an arithmetic number, because the mean of its divisors is an integer number (50679720).

Almost surely, 2^7167928320 is an apocalyptic number.

7167928320 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 7167928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14595759360).

7167928320 is an abundant number, since it is smaller than the sum of its proper divisors (22023590400).

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

7167928320 is a wasteful number, since it uses less digits than its factorization.

7167928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7167928320 is about 84663.6186327988. The cubic root of 7167928320 is about 1928.1073842727.

It can be divided in two parts, 71679 and 28320, that added together give a palindrome (99999).

The spelling of 7167928320 in words is "seven billion, one hundred sixty-seven million, nine hundred twenty-eight thousand, three hundred twenty".