6167978520 has 128 divisors (see below), whose sum is σ = 20345610240. Its totient is φ = 1483453440.

The previous prime is 6167978489. The next prime is 6167978549. The reversal of 6167978520 is 258797616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149244 + ... + 186036.

It is an arithmetic number, because the mean of its divisors is an integer number (158950080).

Almost surely, 2^6167978520 is an apocalyptic number.

6167978520 is a gapful number since it is divisible by the number (60) 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 6167978520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10172805120).

6167978520 is an abundant number, since it is smaller than the sum of its proper divisors (14177631720).

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

6167978520 is a wasteful number, since it uses less digits than its factorization.

6167978520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36945 (or 36941 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 6167978520 is about 78536.4789126683. The cubic root of 6167978520 is about 1833.9223820319.

The spelling of 6167978520 in words is "six billion, one hundred sixty-seven million, nine hundred seventy-eight thousand, five hundred twenty".