6940053120 has 1024 divisors, whose sum is σ = 31190261760. Its totient is φ = 1265172480.

The previous prime is 6940053101. The next prime is 6940053163. The reversal of 6940053120 is 213500496.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44204082 + ... + 44204238.

It is an arithmetic number, because the mean of its divisors is an integer number (30459240).

Almost surely, 2^6940053120 is an apocalyptic number.

6940053120 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 6940053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595130880).

6940053120 is an abundant number, since it is smaller than the sum of its proper divisors (24250208640).

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

6940053120 is a wasteful number, since it uses less digits than its factorization.

6940053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6940053120 is about 83306.9812200634. The cubic root of 6940053120 is about 1907.4548411961.

The spelling of 6940053120 in words is "six billion, nine hundred forty million, fifty-three thousand, one hundred twenty".