6936471360 has 1008 divisors, whose sum is σ = 31619952000. Its totient is φ = 1379524608.

The previous prime is 6936471323. The next prime is 6936471361. The reversal of 6936471360 is 631746396.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×6936471360² = 96229269856200499200, which contains 22 as substring.

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 (6936471361) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34856541 + ... + 34856739.

It is an arithmetic number, because the mean of its divisors is an integer number (31369000).

Almost surely, 2^6936471360 is an apocalyptic number.

6936471360 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 6936471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809976000).

6936471360 is an abundant number, since it is smaller than the sum of its proper divisors (24683480640).

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

6936471360 is a wasteful number, since it uses less digits than its factorization.

6936471360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 6936471360 is about 83285.4810876422. The cubic root of 6936471360 is about 1907.1266390430.

The spelling of 6936471360 in words is "six billion, nine hundred thirty-six million, four hundred seventy-one thousand, three hundred sixty".