6940080000 has 1120 divisors, whose sum is σ = 31345403760. Its totient is φ = 1492992000.

The previous prime is 6940079977. The next prime is 6940080001. The reversal of 6940080000 is 800496.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6940080001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 408239992 + ... + 408240008.

Almost surely, 2^6940080000 is an apocalyptic number.

6940080000 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 6940080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672701880).

6940080000 is an abundant number, since it is smaller than the sum of its proper divisors (24405323760).

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

6940080000 is an frugal number, since it uses more digits than its factorization.

6940080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6940080000 is about 83307.1425509242. The cubic root of 6940080000 is about 1907.4573038247.

Adding to 6940080000 its reverse (800496), we get a palindrome (6940880496).

The spelling of 6940080000 in words is "six billion, nine hundred forty million, eighty thousand".