6936213120 has 128 divisors (see below), whose sum is σ = 22149650880. Its totient is φ = 1846272000.

The previous prime is 6936213113. The next prime is 6936213157. The reversal of 6936213120 is 213126396.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6936213120² = 96222104892120268800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150915 + ... + 1156925.

Almost surely, 2^6936213120 is an apocalyptic number.

6936213120 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 6936213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11074825440).

6936213120 is an abundant number, since it is smaller than the sum of its proper divisors (15213437760).

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

6936213120 is a wasteful number, since it uses less digits than its factorization.

6936213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6634 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 6936213120 is about 83283.9307429711. The cubic root of 6936213120 is about 1907.1029717503.

The spelling of 6936213120 in words is "six billion, nine hundred thirty-six million, two hundred thirteen thousand, one hundred twenty".